The sum of first 5 terms of an arithmetic sequence is 60 write the sequence

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The sum of first 5 terms of an arithmetic sequence is 60 write the sequence

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Cora 4 days 2021-10-12T06:59:42+00:00 2 Answers 0 views 0

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    0
    2021-10-12T07:01:24+00:00

    Given : sum of first 5 terms of an arithmetic sequence is 60

    To find :  Sequence

    Solution:

    Let say first 5 term of an arithmetic sequence  are

    a – 2d , a – d , a  , a + d , a +  2d  

    Sum of 5 terms  = 60

    => a -2d + a – d + a + a + d + a + 2d = 60

    => 5a = 60

    => a  = 12

    As no information is available to find d

    Hence  many possible sequence possible depending upon value of

    d

    Few examples :

    d =  1  , sequence is

    => 10 ,  11 , 12 , 13 , 14…………………

    d = 2 ,   sequence is

    => 8 , 10 , 12 , 14 , 16 ………………

    d = 3 , sequence is

    6 , 9 , 12 , 15 , 18 ………..

    and so on

    if d = – 1

    then sequence is

    14 , 13 , 12 , 11 , 10 …………

    Only common thing in all sequence will be that middle term is 12

    Sequence is

    12-2d , 12 – d , 12 , 12 + d , 12 + 2d……………………

    Learn more:

    in an ap sum of first two terms is 5 and sum of last two terms is 129 …

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    11. In an A.P sum of the first 2 term is 5 and sum of the last 2 term is …

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    0
    2021-10-12T07:01:26+00:00

    Answer:

    10, 11 ,12, 13, 14…….

    8, 10, 12, 14 ,16……..

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