Use the formula for the general term the nth term of a geome

Use the formula for the general term the nth term of a geometric sequence to find the indicated term of the sequence with the given first term, a_1 and common ratio, r. Find a_9 when a_1 - 3 r = -2.

Solution

Q 12.)

a₁ = 3 , r = -2 (Geometric sequence)

Nth term is given by a_n = a.r^(n-1)

a₉ = 3(-2)^(9-1) = 3(-2)⁸ = 768

a₉ = 768