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4 January, 14:24

Given the formula for an arithmetic sequence f (9) = f (8) + 4 written using a recursive formula, write the sequence using an arithmetic explicit formula.

f (9) = f (1) + 1

f (9) = f (1) + 4

f (9) = f (1) + 8

f (9) = f (1) + 32

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Answers (1)
  1. 4 January, 14:47
    0
    The answer is option d

    Step-by-step explanation:

    The given formula is for arithmetic sequence is

    f (9) = f (8) + 4

    By using the formula an = a + (n-1) d

    Where a is the first term and d is the common difference and n is the nth

    term

    ∵ By substituting in the main equation we get

    a + 8d = a + 7d + 4

    d = 4

    So by analyzing the options we get answer as option d

    f (9) = f (1) + 32

    a + 8d = a + 32

    8*d = 32

    8*4 = 32

    32 = 32

    ∴The answer is option d
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