Question

What is the seventh term in the arithmetic sequence defined by the explicit formula an=5n+3?

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Answer 1

well, the rule is very explicit, an = 5n+3.

the 7th term is when n = 7, thus a7 = 5(7) + 3.

Answer 2

Answer: 38

Explanation:

Given explicit formula of arithmetic sequence=
`a_n=5n+3`

To find the seventh term in the arithmetic sequence, substitute n=7 in the given explicit formula, we get

`a_7=5(7)+3`

Now open parenthesis and multiply 5 to 7

`\Rightarrow\ a_7=35+3\\\Rightarrow\ a_7=38`

Hence the seventh term of the given arithmetic sequence =38