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 following sequence with the given first term, a, and common ratio, Find a6 when al-6 and 3.

Solution

a₁=6 , r=3

a_n=a r^n-1

a₆=6 (3)^6-1=6(3)⁵= 1458

Therefore the sixth term is 1458.