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28 May, 23:30

Given the formula for an arithmetic sequence f (8) = f (7) + 5 written using a recursive formula, write the sequence using an arithmetic explicit formula.

Answer choices

f (8) = f (1) + 5

f (8) = f (1) + 7

f (8) = f (1) + 35

f (8) = f (1) + 40

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  1. 29 May, 01:04
    0
    f (8) = f (1) + 35

    Step-by-step explanation:

    f (8) = f (7) + 5

    We are adding 5 each time

    f (7) = f (6) + 5

    f (6) = f (5) + 5

    f (5) = f (4) + 5

    f (4) = f (3) + 5

    f (3) = f (2) + 5

    f (2) = f (1) + 5

    f (8) = f (7) + 5

    Replacing

    f (8) = f (6) + 5 + 5

    f (8) = f (5) + 5+5 + 5

    f (8) = f (4) + 5+5+5 + 5

    f (8) = f (3) + 5+5+5 + 5+5

    f (8) = f (2) + 5+5+5+5 + 5+

    f (8) = f (1) + 5+5+5+5+5 + 5+5

    f (8) = f (1) + 35
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