What is the 7th term in the sequence below? 3,12,48,192

This is a geometric sequence ... so we first find the common ratio by dividing the 2nd term by the 1st term. 12/3 = 4 ... so the common ratio is 4.

an = a1 * r^ (n-1)

n = term to find = 7

a1 = first term = 3

r = common ratio = 4

now we sub

a7 = 3 * 4^ (7-1)

a7 = 3 * 4^6

a7 = 3 * 4096

a7 = 12288 <===