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6 November, 02:07

Given the function defined below, what is the value of the 4th term?

f (1) = - 4

f (n) = - 3f (n-1) + 5

f (4) =

+3
Answers (1)
  1. 6 November, 03:53
    0
    The 4 t h term is f (4) = 143

    Step-by-step explanation:

    Explanation:-

    Given function f (1) = - 4

    Given 'nth' term is f (n) = - 3f (n-1) + 5

    Put n = 2 f (2) = - 3 f (2-1) + 5

    = - 3 f (1) + 5

    = - 3 (-4) + 5

    = 12 + 5

    f (2) = 17

    put n = 3

    f (n) = - 3f (n-1) + 5

    f (3) = - 3 f (3-1) + 5

    = - 3f (2) + 5

    = - 3 (17) + 5

    = - 51+5

    f (3) = - 46

    Put n=4

    f (n) = - 3f (n-1) + 5

    f (4) = - 3f (4-1) + 5

    f (4) = - 3f (3) + 5

    f (4) = - 3 (-46) + 5

    f (4) = 138 + 5

    f (4) = 143

    Final answer:-

    The 4 t h term is f (4) = 143
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