Find the 9th term of the sequence: 1/4, 1/2, 1,…

Answer 1

The sequence is geometric with first term, a, equal to 1/4 and common ratio, r, equal to 2

The nth term, a_n, can be found by using the formula a_n = ar^n-1.

So, a₉ = (1/4)(2)⁸ = 64

Answer 2

common ratio, r, = 2. it's a geometric series

A1 = 1/4

A2 = 1/2

A3 = 1

A4 = 2

A5 = 4

A6 = 8

A7 = 16

A8 = 32

A9 = 64 = 9th term in the sequence

AN = A1(r)^(N-1)

A9 = (1/4)(2)^8 = (1/4)(256) = 64