Question

Write the first five terms of the sequence defined by the explicit formula

Answer 1

The correct answer is: 19, 13, 3, -11, -29

Answer 2

The correct answer option is: 19, 13, 3, -11, -29.

Explanation:

We are given the following explicit formula for an arithmetic sequence:

`a_n=21-2n^2`

So to find the first five terms of this sequence, we will substitute the values of
`n` (num here in the given formula:

`a_1=21-2(1)^2\\\\a_1=19`

`a_2=21-2(2)^2\\\\a_2=13`

`a_3=21-2(3)^2\\\\a_3=3`

`a_4=21-2(4)^2\\\\a_4=-11`

`a_5=21-2(5)^2\\\\a_5=-29`

Therefore, the first five terms of the sequence defined by the explicit formula
`a_n=21-2n^2` are 19, 13, 3, -11, -29.