arithtemetic sequence with 100 as the sum of first four terms

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arithtemetic sequence with 100 as the sum of first four terms

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Mia 1 week 2021-10-04T12:53:31+00:00 2 Answers 0 views 0

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    2021-10-04T12:54:39+00:00

    Question => What are arithmetic sequences with 100 as the sum of the first 4 terms?

    Answer => Therefore first A.P 22,24,26,28….

    Step-by-step explanation:

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    2021-10-04T12:55:30+00:00

    Let first number be a, next three numbers be a+b, a+2b, a+3b. Then 4a+6b=100, or 2a+3b=50.

    a=1, b=16: 1,17,33,49 – first four

    a=4, b=14: 4,18,32,46 – first four

    a=7, b=12: 7,19,31,43 – first four

    a=10, b=10: 10,20,30,40 – first four

    These above are four arithmetic sequences fit for the answer.

    Answer : 1,17,33,49; 4,18,32,46; 7,19,31,43; 10,20,30,40

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