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16 March, 17:22

Find the 4th term of (x+5) ^7

A. 35x^4

B. 4375x^4

C. 21,875x^3

D. 625x^4

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Answers (2)
  1. 16 March, 17:39
    0
    B. 4375x^4

    Step-by-step explanation:

    Firstly, you can just multiply it and look at the fourth term or use the binomial theorem. Either way it's B.
  2. 16 March, 21:20
    0
    4375x^4.

    Step-by-step explanation:

    There is a useful formula for answering these type of questions. It is:

    (r + 1) th term of (x + a) ^n = nCr x^ (n-r) a^r.

    4th term = (3 + 1) th term of (x + 5) ^7

    = 7C3 x^ (7-3) 5^3

    = 35 x^4 * 125

    = 4375x^4.
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