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the 13th term of ap is 2times of 10th term and 3rd term is 6times its 6th term find sum of first three terms​

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Answer:

13 term MEANS a+ 12d ...(1) and 10 term means a+9d. ....(2)

from given condition a+12d=2×(a+9d)

a+12d=2a+18d

a-2a+12d-18d=0

-a -6d=0.....(3)

-a=6d

multipleying by 5

-5a=30d....(4)

from second condition

a+2d=6(a+5d)

a+2d=6a+30d

a-6a+2d-30d=0

-5a -28d=0

from 4

30d-28d=0

2d=0

d=0

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