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22 August, 02:04

The first T-shirt you buy costs $7, and every additional shirt costs only $5. Let f (n) be the total cost of n shirts. F is a sequence. What kind of sequence is it?

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  1. 22 August, 02:24
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    f (n) = 2 + 5n. This is an arithmetic sequence.

    Step-by-step explanation:

    f (1) = 7

    f (2) = 7 + 5

    f (3) = 7 + 5 + 5 = 7 + 10

    f (4) = 7 + 5 + 5 + 5 = 7 + 15

    In general,

    f (n) = 7 + 5 (n - 1)

    = 7 + 5n - 5

    = 2 + 5n

    We have the sequence 7, 12, 17, 22, 27 ...

    This is an arithmetic sequence, because it is a sequence of numbers in which the common difference between consecutive terms is 5.
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