Question

Find a formula for the nth term of the geometric sequence. Then find the indicated nth term of the geometric sequence? 7th term: 3, 33, 363,. . . an = a7 =

Answer 1

`a_7=5314683`

Explanation:

The geometric sequence is `S={3,33,363,...);` of which

first term is `a_1=3` and common ratio is `r=33/3=11`

The `n` th term of geometric sequence is `a_n=a_1*r^(n-1)`

Therefore `7` th term is `a_7=a_1*r^(n-1)=3*11^(7-1)` or

`a_7=5314683` [Ans]