Question

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

Answer 1

The eighth term of the arithmetic sequence is 43

Step-by-step explanation:

The formula of the nth term of an arithmetic sequence is:

$a_{n}=a+(n-1)d$ , where

• a is the 1st term
• d is the common difference between the consecutive terms
• n is the position of the term

∵ The explicit formula of an arithmetic sequence is $a_{n}=5n + 3$ ,

   where n is the position of the term

∵ We need to find the eighth term

- That means the position of the term is 8th in the sequence

∴ n = 8

- Substitute n by 8 in the given formula

∴ $a_{8}=5(8)+3$

∴ $a_{8}=40+3$

∴ $a_{8}=43$

The eighth term of the arithmetic sequence is 43

Learn more:

You can learn more about the arithmetic sequences in brainly.com/question/7221312

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