Question

Write an expression to describe the sequence below, and then find the 99th term. Use n to represent the position of a term in the sequence, where n = 1 for the first term.

14, 15, 16, 17, ...

an =


a99 =

Answer 1

`a_n = 13 + n`,
`a_(99) = 112`

Explanation:

in the given arithmetic progression,

a = 14, d = 1

using the formula for AP,

`a_n = a+ (n-1)d`

`a_n = 14 + (n-1)1`

`a_n = 13 + n`

substituting n = 99 we get,

`a_(99) = 112`

Hopefully this answer helped you!