Question

Please help me on 10 I don’t know what I did wrong on the second and third part

Answer 1

`\text{The 5th term of the sequence is s}^{(8)/(7)}`

Explanation

Given the sequence below

`1,s^{(2)/(7)},s^{(4)/(7)},\text{ }s^{(6)/(7)}`

The common ratio of the sequence is given below as

`s^{(2)/(7)}`

The general formula for finding the nth term of a geometric sequence is

`a_n=ar^{n\text{ - 1}}`

Where,

0. a = first term

,

1. r = common ratio

,

2. n = number of terms

To find the 5th term of the geometric, then n = 5

`\begin{gathered} a\text{ = 1} \\ n\text{ = 5} \\ r=s^{(2)/(7)} \\ a_5\text{ = 1 }\cdot S^{\frac{2(5\text{ - 1)}}{7}} \\ a_5=s^{(2(4))/(7)} \\ a_5=s^{(8)/(7)} \end{gathered}`

NB: When inputting your answer in the box, use the small letter 's' and not the capital letter S