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What Are The Next Three Numbers In This Sequence? - Education (4) - Nairaland

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Re: What Are The Next Three Numbers In This Sequence? by mustapha112: 4:26pm On Aug 07, 2017
sir why are you smiling,is it because of the recharge card if it is about it if you do not want to give me,i won't force or disturb you thank you.
Re: What Are The Next Three Numbers In This Sequence? by afo7219: 5:27pm On Aug 07, 2017
MasterMind21:
33
u must b a mathematician. Kudos to you. Can pls always endeavour to show ur workings so DAT som1 like me can gain n add more knowledge.
Re: What Are The Next Three Numbers In This Sequence? by afo7219: 5:32pm On Aug 07, 2017
MrOlai:


grin Correct!
hello sir,if u wish to give me recharge card, I will appreciate too o at least one question rite. Jus to encourage a learner like me cos I knw u guys are gurus. I use Mtn network if u wish to give or u can transfer d money's worth to my acc . tanks in anticipation. God bless u.
Re: What Are The Next Three Numbers In This Sequence? by afo7219: 5:32pm On Aug 07, 2017
Next question pls
Re: What Are The Next Three Numbers In This Sequence? by mustapha112: 5:49pm On Aug 07, 2017
sir i was the only one who tried in getting some question i solved with prefer answer but you did not reward me for my hardwork?why?
Re: What Are The Next Three Numbers In This Sequence? by MrOlai: 6:45pm On Aug 07, 2017
afo7219:
Next question pls

Find the term independent of x in the expansion of

(3x2 - 2/x)12
Re: What Are The Next Three Numbers In This Sequence? by afo7219: 7:56pm On Aug 07, 2017
MrOlai:


Find the term independent of x in the expansion of

(3x2 - 2/x)12
(3x)^12 -(2)^12
Independent of x
The ans= 2^12
Re: What Are The Next Three Numbers In This Sequence? by MrOlai: 8:09pm On Aug 07, 2017
afo7219:

(3x)^12 -(2)^12
Independent of x
The ans= 2^12

Wrong
Re: What Are The Next Three Numbers In This Sequence? by Nobody: 7:27am On Aug 08, 2017
afo7219:
u must b a mathematician. Kudos to you. Can pls always endeavour to show ur workings so DAT som1 like me can gain n add more knowledge.
No problem sir! I'm not a mathematian o
Re: What Are The Next Three Numbers In This Sequence? by Nobody: 7:48am On Aug 08, 2017
MrOlai:


Find the term independent of x in the expansion of

(3x2 - 2/x)12
495 X 3⁴ X 2^8 = 10264320
Re: What Are The Next Three Numbers In This Sequence? by MrOlai: 8:48am On Aug 08, 2017
MasterMind21:
495 X 3⁴ X 2^8 = 10264320

Great!

You're wonderful!
Re: What Are The Next Three Numbers In This Sequence? by afo7219: 11:11am On Aug 08, 2017
MasterMind21:
495 X 3⁴ X 2^8 = 10264320
pls, step by step sir
Re: What Are The Next Three Numbers In This Sequence? by afo7219: 11:12am On Aug 08, 2017
Next question sir
Re: What Are The Next Three Numbers In This Sequence? by MrOlai: 11:22am On Aug 08, 2017
afo7219:
Next question sir
Ok
Re: What Are The Next Three Numbers In This Sequence? by MrOlai: 11:31am On Aug 08, 2017
Nigeria, Brazil, Spain and China were in the same group during Football World Cup in preliminary round.

The four teams played one another and each team played 3 matches at the end of the preliminary round.

How many matches were played altogether in that group at the end of the preliminary round?
Re: What Are The Next Three Numbers In This Sequence? by Nobody: 1:18pm On Aug 08, 2017
afo7219:
pls, step by step sir
Sorry for taking so long. I used 12th degree of the binomial theorem(pascal's triangle). Hope you know about it. If we expand
(x +y)¹... It equals x + y (their coefficients being 1 and 1)
(x + y)²... You'll get coefficients of 1 2 1
(x + y)³ gives...... 1 3 3 1
(x + y)⁴ gives.... 1 4 6 4 1
Now, if you look closely you'll notice that the sum of two consecutive coefficients of the previous degree gives the value of the coefficient of the corresponding next degree.
For example in degree 1, we have, 1 & 1(I want to obtain degree 2 coefficients from 1). We take it that zero(imaginary) is standing by the left side of the first 1.. So 0 + 1 = 1 (first coefficient of degree 2)... 1 + 1 = 2 (second coefficient of degree 2)... 1 + 0 (by the right of the second 1)... That's it 1 2 1...
Let me try to get degree 3 from 2..
Recall two is 1 2 1... Now 0 + 1= 1(first coefficient of degree 3). 1 + 2 =3(second coefficient of degree 3)...2 + 1 (by the left of 2)= 3(third coefficient and second 3 of degree 3).... 1 + 0= 1(last coefficient). So with this you'll be able to get the coefficient of any degree you want.
N. B The first and last coefficients are always the same i.e 1. You should also put the powers(degrees) of variables into consideration.
If I expand (x + y)³ I'll get(using the coefficients 1 3 3 1)... 1x³ +3x²y¹ + 3x¹y² + 1y³ which can be simplified to x³ + 3x²y + 3xy² + y³... If you look at the powers of the respective variables you'll notice that the sum of indices will always be equal to the degree(i.e in this case 3).
See....x³(total 3), 3(x²y)(total 2+1=3), 3(xy²) (total 1+2=3).....including that of y³.. Sorry for the long story.. I hope this'll do.. Thanks.
Re: What Are The Next Three Numbers In This Sequence? by Engrcharlesid(m): 1:34pm On Aug 08, 2017
MrOlai:
Nigeria, Brazil, Spain and China were in the same group during Football World Cup in preliminary round.

The four teams played one another and each team played 3 matches at the end of the preliminary round.

How many matches were played altogether in that group at the end of the preliminary round?


6
Re: What Are The Next Three Numbers In This Sequence? by MrOlai: 2:47pm On Aug 08, 2017
Engrcharlesid:

6
Correct!
Re: What Are The Next Three Numbers In This Sequence? by mustapha112: 3:02pm On Aug 08, 2017
Next question
Re: What Are The Next Three Numbers In This Sequence? by MrOlai: 5:24pm On Aug 08, 2017
mustapha112:
Next question

What's your number?

Let me give you #400 MTN.

Manage it pls.
Re: What Are The Next Three Numbers In This Sequence? by Engrcharlesid(m): 5:40pm On Aug 08, 2017
MrOlai:

What's your number?
Let me give you #400 MTN.
Manage it pls.
NXT QUESTION
Re: What Are The Next Three Numbers In This Sequence? by mustapha112: 5:48pm On Aug 08, 2017
Ok sir my number is 08061557272
Re: What Are The Next Three Numbers In This Sequence? by afo7219: 5:54pm On Aug 08, 2017
MasterMind21:
Sorry for taking so long. I used 12th degree of the binomial theorem(pascal's triangle). Hope you know about it. If we expand
(x +y)¹... It equals x + y (their coefficients being 1 and 1)
(x + y)²... You'll get coefficients of 1 2 1
(x + y)³ gives...... 1 3 3 1
(x + y)⁴ gives.... 1 4 6 4 1
Now, if you look closely you'll notice that the sum of two consecutive coefficients of the previous degree gives the value of the coefficient of the corresponding next degree.
For example in degree 1, we have, 1 & 1(I want to obtain degree 2 coefficients from 1). We take it that zero(imaginary) is standing by the left side of the first 1.. So 0 + 1 = 1 (first coefficient of degree 2)... 1 + 1 = 2 (second coefficient of degree 2)... 1 + 0 (by the right of the second 1)... That's it 1 2 1...
Let me try to get degree 3 from 2..
Recall two is 1 2 1... Now 0 + 1= 1(first coefficient of degree 3). 1 + 2 =3(second coefficient of degree 3)...2 + 1 (by the left of 2)= 3(third coefficient and second 3 of degree 3).... 1 + 0= 1(last coefficient). So with this you'll be able to get the coefficient of any degree you want.
N. B The first and last coefficients are always the same i.e 1. You should also put the powers(degrees) of variables into consideration.
If I expand (x + y)³ I'll get(using the coefficients 1 3 3 1)... 1x³ +3x²y¹ + 3x¹y² + 1y³ which can be simplified to x³ + 3x²y + 3xy² + y³... If you look at the powers of the respective variables you'll notice that the sum of indices will always be equal to the degree(i.e in this case 3).
See....x³(total 3), 3(x²y)(total 2+1=3), 3(xy²) (total 1+2=3).....including that of y³.. Sorry for the long story.. I hope this'll do.. Thanks.
yea. Tanks alot
Re: What Are The Next Three Numbers In This Sequence? by afo7219: 5:56pm On Aug 08, 2017
MrOlai:


What's your number?

Let me give you #400 MTN.

Manage it pls.
pls remember me too o
My Mtn no: 08037230350
Re: What Are The Next Three Numbers In This Sequence? by afo7219: 5:57pm On Aug 08, 2017
Next question pls
Re: What Are The Next Three Numbers In This Sequence? by MrOlai: 6:59pm On Aug 08, 2017
mustapha112:
Ok sir my number is 08061557272

Sent.

Have you seen it?
Re: What Are The Next Three Numbers In This Sequence? by MrOlai: 7:09pm On Aug 08, 2017
Engrcharlesid:
NXT QUESTION
How many numbers greater than 3000 can be made from the digits 1, 2, 3, 4, 5?
Re: What Are The Next Three Numbers In This Sequence? by mustapha112: 7:18pm On Aug 08, 2017
Thank you sir for your kind gesture may Allah assist you in whatever you want to do.thank you once again.
Re: What Are The Next Three Numbers In This Sequence? by MrOlai: 7:20pm On Aug 08, 2017
mustapha112:
Thank you sir for your kind gesture may Allah assist you in whatever you want to do.thank you once again.

Amen.
Re: What Are The Next Three Numbers In This Sequence? by mustapha112: 1:23pm On Aug 09, 2017
do you have any new thread in nairaland.
Re: What Are The Next Three Numbers In This Sequence? by MrOlai: 1:27pm On Aug 09, 2017
mustapha112:
do you have any new thread in nairaland.

No
Re: What Are The Next Three Numbers In This Sequence? by mustapha112: 1:40pm On Aug 09, 2017
sorry to say are you a student or a teacher?

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