What is the eighth term in the arithmetic sequence defined by the explicit formula an=5n+3 ?
1 answer:
The eighth term of the arithmetic sequence is 43
Step-by-step explanation:
The formula of the nth term of an arithmetic sequence is:
, 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 ,
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
∴
∴
∴
The eighth term of the arithmetic sequence is 43
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Step-by-step explanation:
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