Mathematics

If the sixth term of an A.P is 37 and the sum of the first sixth term is 147.find the first term and the sum of the first 15 terms

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  3. 👁 578
  1. a+5d = 37
    6/2 (2a+5d) = 147
    Now just solve for a and d, and
    S15 = 15/2 (2a+14d)

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  2. a+(n-1)d =37
    n/2 (2a+(n-1)d=147
    So a+5d=37 eqn 1=37
    3(2a +5d) eqn 2=147
    Use elimination
    a= 12

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  3. a+5d = 37
    12+5d = 37
    5d = 37- 12 = 25
    5d = 25
    d = 5

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  4. n/2 (2a+ (n-1)d
    15/2 [2(12) +14d]
    15/2 [24 + 14×5]
    15/2 [24 + 70]
    15/2 [ 94]
    15× 47= 705.

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