Question

the first term in a geometric series is 7 and the 6th term is 1701, find the common ratio

Answer 1

Answer:

3

Step-by-step explanation:

let the common ratio be 'r' and first term 'a'

A/Q

a = 7 and

$6th \: term \: \: ar {}^{6 - 1} = 1701$

$= > 7 \times r {}^{5} = 1701$

$= > {r}^{5} = \frac{1701}{7}$

$= > {r}^{5} = 243$

$= > {r}^{5} = 3 {}^{5}$

So r = 3