Question

What are the first five terms of the arithmetic sequence defined explicitly by the formula an=14-3n a. -3, 0, 3, 6,9 b. 14, 17, 20, 23, 26 c. 14, 11, 8, 5, 2 d. 11, 8, 5, 2, -1

Answer 1

Option D. is the answer.

Explanation:

Explicit formula of the arithmetic sequence is defined by the formula

`a_(n)=14-3n`

Where
`a_(n)` = nth term of the sequence

n = number of term

We have to find the first five terms of this sequence.

For n = 1,

`a_(1)=14-3(1)=11`

For n = 2,

`a_(2)=14-3(2)=8`

For n = 3,

`a_(3)=14-3(3)=5`

For n = 4,

`a_(4)=14-3(4)=2`

For n = 5,

`a_(5)=14-3(5)=-1`

Therefore, the sequence will be 11, 8, 5, 2, -1............

Option D. will be the answer.