Question

9+27+81+243+.....+177,147. what is the 10th term of the sequence?​

Answer 1

177147

Explanation:

Note there is a common ratio r between consecutive terms in the series, that is

27 ÷ 9 = 81 ÷ 27 = 243 ÷ 81 = 3

This indicates the series is geometric with n th term

`a_(n)` = a
`(r)^(n-1)`

where a is the first term and r the common ratio

Here a = 9 and r = 3, thus

`a_(10)` = 9 ×
`3^(9)` = 9 × 19683 = 177147