What is the sum of all even numbers 0-175 in algebraic form? If n49=99

Question

What is the sum of all even numbers 0-175 in algebraic form? If n49=99

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Alexandra 3 days 2021-09-08T15:46:29+00:00 1 Answer 0

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    2021-09-08T15:47:33+00:00

    Answer:

    S_{88}=7656

    Step-by-step explanation:

    We want to find the sum of all even numbers from 0 to 175.

    The series will be:

    0+2+4+6+...+174

    The explicit formula for this is a_n=2n-2, where n\ge1.

    We need to find how many terms are there.

    2n-2=174

    2n=176\\n=88

    The sum of terms is given by:

    S_n=\frac{n}{2}(a_1+l)

    Substitute n=88, a_1=0 and l=174 to get:

    S_{88}=\frac{88}{2}(0+174)\\S_{88}=44*174\\S_{88}=7656

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45:7+7-4:2-5:5*4+35:2 =? ( )