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The recursive formula is = 14;
=
+ 3
The explicit formula is
Step-by-step explanation:
The recursive formula of the nth term of the arithmetic sequence is
= first term;
=
+ d, where
is the first term in the sequence
is the nth term in the sequence
is the term before the nth term
- n is the term number
- d is the common difference.
The explicit formula of the nth term of the arithmetic sequence is
, where
- a is the first term
- n is the term number
- d is the common difference
∵ The arithmetic sequence is 14, 17, 20, 23, 26
∴ The first term is 14
∵ 17 - 14 = 3
∴ The common difference is 3
∵ The recursive formula is = first term;
=
+ d
∵ = 14
∵ d = 3
∴ = 14;
=
+ 3
The recursive formula is = 14;
=
+ 3
∵ The explicit formula is
∵ a = 14
∵ d = 3
∴
- Simplify the right hand side
∴
- Add like terms
∴
The explicit formula is
Learn more:
You can learn more about the sequences in brainly.com/question/7221312
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