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29 July, 23:11

if f (1) = - 5 and f (n) = f (n-1) + 7, find the first four terms and the common difference of the sequence

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  1. 30 July, 00:51
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    - 5, 2, 9, 16 and d = + 7

    Step-by-step explanation:

    to obtain the first four terms substitute n = 2, 3, 4 into the recursive formula

    f (1) = - 5 ← given

    f (2) = f (1) + 7 = - 5 + 7 = 2

    f (3) = f (2) + 7 = 2 + 7 = 9

    f (4) = f (3) + 7 = 9 + 7 = 16

    common difference d = 16 - 9 = 9 - 2 = 2 - ( - 5) = 7
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