18. The table shows the amount of money in a savings account after several weeks. Week au AWN Savings $125 $14

Question

18. The table shows the amount of money in a savings account after several weeks.
Week
au AWN
Savings
$125
$140
$155
$170
$185
$200
a. Is the sequence arithmetic or geometric? Explain Find the common difference or common ratio.
b. Write a recursive formula for the sequence.
c. Write an explicit formula for the sequence.

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Alaia 5 days 2021-09-15T21:56:19+00:00 1 Answer 0

Answers ( )

    0
    2021-09-15T21:57:25+00:00

    Answer:

    a. Arithmetic

    b. a_{n} = a_{n-1} + 15

    c. a_{n} = 15n + 125

    Step-by-step explanation:

    A sequence is arithmetic when the difference between one term and the next is a constant. On the other hand, a sequence is geometric when the next term is found by multiplying the previous by a constant.

    In this case, the next term of the sequence can be found by adding $15. Therefore, the sequence is ARITHMETIC ✔️

    The recursive formula will be the following: a_{n} = a_{n-1} + 15

    The explicit formula is the following: a_{n} = 15n + 125

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