Question

Find the 7th term in the

sequence
, 1, 3, 9,...
Hint: Write a formula to help you.
1st term . Common Ratio desired term - 1)
Enter

Answer 1

The 7th term is 729

Explanation:

Given

`Sequence: 1, 3, 9...`

Required: Determine the 7th term

The given sequence is a geometric function. So, we calculate the common ratio (r) first.

`r = (T_2)/(T_1)`

`r = (3)/(1)`

`r = 3`

The nth term of gp is:

`T_n = ar^{n-1`

Where

`a = T_1`

The 7th term is:

`T_7 = ar^{7-1`

`T_7 = ar^6`

`T_7 = 1 * 3^6`

`T_7 = 729`