Question

What is the eighth term in the arithmetic sequence defined by the explicit formula an=2n+7? Enter your answer in the box.

Answer 1

a8=23

Explanation:

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Answer 2

The eight term is,
`a_8 = 23`

Explanation:

Arithmetic sequence states that a sequence of numbers such that the common difference between any two succeeding numbers is a constant (d).

The formula for nth term is given by:

`a_n = a+(n-1)d` where a is the first term , d is the common difference and n is the number of terms.

To find the eighth term(i.e,
`a_8` in the arithmetic sequence defined by

Explicit formula :
`a_n = 2n +7` .....[1]

Substitute n = 8 in equation [1] we have;

`a_8 = 2(8)+7`

`a_8 = 16+7`

Simplify:

`a_8 = 23`

Therefore, the eighth term in the arithmetic sequence defined by the explicit formula is;
`a_8 = 23`