Use the arithmetic progression formula to find the sum of integers from 75 to 100.75,76,77-99,100.​

Question

Use the arithmetic progression formula to find the sum of integers from 75 to 100.75,76,77….99,100.​

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Thái Dương 3 years 2021-07-29T22:22:44+00:00 1 Answers 5 views 0

Answers ( )

  1. minhkhang
    0
    2021-07-29T22:23:54+00:00
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    Answer:

    The sum is 2275

    Step-by-step explanation:

    Given

    75,76,77....99,100

    Required

    The sum

    Using arithmetic progression, we have:

    S_n = \frac{n}{2}(T_1 + T_n)

    Where:

    T_1 = 75 — first term

    T_n = 100 — last term

    n = T_n - T_1 + 1

    n = 100 - 75 + 1 = 26

    So, we have:

    S_n = \frac{n}{2}(T_1 + T_n)

    S_n = \frac{26}{2}*(75 + 100)

    S_n = 13*175

    S_n = 2275

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