Year 12s: what will be the first way you research your future options? >>

C4 binomial series expansion question

Hi, can anyone help me with part (b) of question 4? I don't have a clue where to start with it.

I've got the answer to part (a) if that's needed for the question. It's 1+(3x/10)+(3x^2/50)+(x^3/100).
Thanks in advance :smile:

image.jpg512.5KB

Reply 1

Yua

Original post by Hannie Rose

Hi, can anyone help me with part (b) of question 4? I don't have a clue where to start with it.

I've got the answer to part (a) if that's needed for the question. It's 1+(3x/10)+(3x^2/50)+(x^3/100).
Thanks in advance :smile:

not hard

Reply 2

B_9710

If you're struggling write out the first 3,4 or 5 terms. Then look for a general pattern in the coefficients of the terms. Also don't write out the coefficients in any simplified form just write it out as products.

Reply 3

JLegion

Expand using n instead of 3, for the first 3 or 4 terms.
Then, take out a factor of 1/10^n.
You should end up with the other part to simplify into the form requested.