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1 answer:
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Given:
The recursive formulae are:
(a)
(b)
To find:
The explicit equation.
Solution:
A recursive formula of an arithmetic sequence is
and f(1) is the first term.
Where, d is the common difference.
The explicit formula is
where, a is first term and d is common difference.
(a)
We have,
Here, first term is 8 and common difference is -2. So, the explicit formula is
Therefore, the explicit formula is .
(b)
We have,
Here, first term is 0 and common difference is 5. So, the explicit formula is
Therefore, the explicit formula is .