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max2010maxim [7]
3 years ago
7

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

Mathematics
1 answer:
beks73 [17]3 years ago
3 0

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

#LearnwithBrainly

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Step-by-step explanation:

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your welcome

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