Question

What is the 299th term in the following sequence 5,14,23,32,41.....

Answer 1

Step-by-step explanation: Use the AP formula: T(n) = a + (n-1)d

T(299) = 5 + (299-1)9

and the 299th term is 2,687

Answer 2

2687

Explanation:

These are the terms of an arithmetic sequence with n th term

`a_(n)` =
`a_(1)` + (n - 1)d

where d is the common difference and
`a_(1)` the first term

here d = 14 - 5 = 23 - 14 = 9 and
`a_(1)` = 5, hence

`a_(299)` = 5 + (298 × 9) = 5 + 2682 = 2687