theres a formulaThis is a binomial question, and I'm having lots of trouble. Say if the expansion was (3+4x)^16 how would I find the greatest coefficient? Do I just expand it all? Or is there an actual formula?
And then do I solve for k and sub back into equation or something? Or do I just leave it as k<whatever comes up?theres a formula
T (k+1) / T (k) < 1 im pretty sure if memory serves me right
it basically means that when the coefficents of the terms FIRST start to decrease, then you have reached the greatest term
Omg wow. Thank you so much for your help!!
Oh that makes so much more sense! Thank you so much!!so we have to solve 3 (17-k) / 4k < 1
now k>0 so multiply both sides by 4k
3 ( 17-k) < 4k
51 -3k < 4k
7k > 51
k> 7.28 .....
but k is an integer, so take the first integer value of k that satisifes this
so k= 8
ie the greatest coefficicent is the 9th term ( k starts at 0 )
now sub this into the T (k+1) formula
so answer = ( 16 C 8 ) ( 3^8)(4^8)
do you have an updated link for the working? I am also quite confused.see this link for working out
do you have an updated link for the working? I am also quite confused.