Question

What is the seventh term in the arithmetic sequence defined by the explicit formula an=5n+3?What is the seventh term in the arithmetic sequence defined by the explicit formula an=5n+3? Enter your answer in the box. a7=

Answer 1

a7 = 5*7+3 = 38.

Just sub in n = 7 and you will get it.

Answer 2

Explanation:

When difference between the two consecutive terms remain the same throughout a sequence then this is known as arithmetic sequence.

The general formula for arithmetic sequence is as follows.

a, a+d, a+2d, a+3d, and so on

The given formula is as follows.

`a_(n) = 5n+3`

Since we have to find seventh term in this arithmetic sequence, this means that n = 7.

Therefore, putting the value of n into the formula as follows.

`a_(7) = 5(7)+3`

= 35 + 3

= 38

Thus, we can conclude that
`a_(7)` = 38.