Question

If 6th term of an A.P is -10and its 10th term is -26 then find its 15th term.

Answer 1

Hey mate..
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The solution is in the attachment..

Hope it helps !!!

Answer 2

Given,
6th term of an A.P is -10 - (1)
10th term of an A.P is -26 -(2)

a6 = a+5d = -10
a10=a+9d = -26
from 1 and 2

(2)-(1)
a+9d = -26
a+5d = -10
= 4d = -16
d= -16\4 = -4
from (1)
a+5d = -10
a+5 (-4)=-10
a+(-20)= -10
a-20= -10
a= -10+20
a= 10
Required 15th term = a+14d
= 10+14 (-4)
=-46