Find the sum of the first 25 terms of the Arithmetic sequence 12, 23,34

Question

Find the sum of the first 25 terms of the Arithmetic sequence 12, 23,34

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Luna 2 months 2021-11-23T05:32:29+00:00 2 Answers 0 views 0

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    0
    2021-11-23T05:34:02+00:00

    The sum of the members of a finite arithmetic progression is called an arithmetic series.

    Using our example, consider the sum:

    12+23+34+45+56+67+78+89

    This sum can be found quickly by taking the number n of terms being added (here 8), multiplying by the sum of the first and last number in the progression (here 12 + 89 = 101), and dividing by 2:

    n(a1+an)

    2

    8(12+89)

    2

    The sum of the 8 members of this series is 404

    This series corresponds to the following straight line y=11x+12

    0
    2021-11-23T05:34:26+00:00

    Answer:

    12+23+34+45+56+67+78+89

    This sum can be found quickly by taking the number n of terms being added (here 8), multiplying by the sum of the first and last number in the progression (here 12 + 89 = 101), and dividing by 2:

    n(a1+an)

    2

    8(12+89)

    2

    The sum of the 8 members of this series is 404

    Step-by-step explanation:

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