1.13: Binomial terms and constants aa, bb

0606/12/O/N/18 — Question 5 · 6 marks · Binomial

The 77th term in the expansion of (a+bx)12(a + bx)^{12} in ascending powers of xx is 924x6924x^{6}. It is given that aa and bb are positive constants.
(i)
Show that b=1ab = \tfrac{1}{a}.
[2]
(ii)
The 66th term in the expansion of (a+bx)12(a + bx)^{12} in ascending powers of xx is 198x5198x^{5}.
Find the value of aa and of bb.
[4]