Write a formula for the nth term of the arithmetic sequence 15, 20, 25, 30, ...

cistG 2021-02-09 Answered
Write a formula for the nth term of the arithmetic sequence 15, 20, 25, 30, ...
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Dora
Answered 2021-02-10 Author has 98 answers

The nnth term of an arithmetic sequence is an=a1+(n1)d where a_1is the first term and d is the common difference.
For the arithmetic sequence 15, 20, 25, 30, ... the first term is a1=15 and the common difference is d=a2a1=2015=5. The nth term is then:
an=a1+(n1)d
an=15+(n1)(5) Substitute.
an=15+5n5 Distribute.
an=10+5n Combine like terms.

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