Question

use the explicit formula an = a1 + (n - 1) * d to find the 500th term of the sequence below. 24,30,36,42,48,... A. 3018 B. 3042 C. 2994 D. 3024

Answer 1

A is correct

Explanation:

Answer 2

Option A.

Explanation:

The given sequence is

24, 30, 36, 42, 48, ...

It is an AP. Here,

First term = 24

Common difference = 30-24 = 6

The given explicit formula for nth term is

`a_n=a_1+(n-1)d`

where,
`a_1` is first term, d is common difference.

Substitute
`a_1=24, d=6 \text{ and }n=500` in the above formula.

`a_(500)=24+(500-1)(6)`

`a_(500)=24+(499)(6)`

`a_(500)=24+2994`

`a_(500)=3018`

The 500th term of the sequence is 3018.

Therefore, the correct option is A.