binomial

for |x| < 1
1 + 3x + 6x2 + 10x3............. = ?

4 Answers

62
Lokesh Verma ·

The rth term is given by \frac{r(r+1)}{2}x^r-1

Now you want to find the sum

You can think of this as the derivative of something?

And then take the sum (Infact the double derivative?)

Give it a shot once...

1
Ricky ·

Err , I think that -

Now , from the fundamentals of infinite G . P . - s ,

Differentiate each side of this identity twice to get -

262
Aditya Bhutra ·

from, binomial expansion for any index, we have
(1+x)-3 = 1-3x + 6x2 - 10x3 ......
now replacing x with -x,

(1-x)-3 = 1+3x + 6x2 + 10x3 ......

1
rishabh ·

thanks for all your help..
i got another method too..using agp

Your Answer

Close [X]