# Find the middle terms of this binomial expansion

Homework Statement:
Find the middle terms of ##\left( 4 - x^3 \right)^7##
Relevant Equations:
Binomial expansion
I know how to expand it. My question is: the expansion has 8 terms so what would be the middle term? Will the answer be "the expansion has no middle term"?

Or maybe seeing the phrase of the question (middle terms), there will be two answers (the 4th and 5th term)?

Thanks

anuttarasammyak
Gold Member
I assume the problem suggests all the expansion terms except obvious ##4^7## and ##-x^{21}##.

• songoku
Thank you very much anuttarasammyak

SammyS
Staff Emeritus
Homework Helper
Gold Member
Homework Statement:: Find the middle terms of ##\left( 4 - x^3 \right)^7##
Relevant Equations:: Binomial expansion

I know how to expand it. My question is: the expansion has 8 terms so what would be the middle term? Will the answer be "the expansion has no middle term"?

Or maybe seeing the phrase of the question (middle terms), there will be two answers (the 4th and 5th term)?

Thanks
I suspect the intent of the questioner is to ask for the 4th and 5th terms as you suggested. However, the wording is not all that clear so @anuttarasammyak may indeed be correct.

• songoku
Thank you very much SammyS