Question

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Q. The 6th term of an A.P. is -10 and 10th term is -26. Determine the 15th term of an A.P.

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Answer 1

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Answer 2

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Here is your answer :
____________________________

Given,

6th term of AP = -10

a + 5d = -10--------------(1)

10 th term of AP = -26

a + 9d = -26 -----------(2)

Solve 1 & 2

a + 5d = -10
a+ 9d = -26
----------------
-4d = 16

d = -16/4

d = - 4


substitute d in eq

a + 5 (-4) = -10

a -20 = -10

a = -10 +20

a = 10

15 th term = a + 14d

= 10 + 14(-4)

= 10-56

= -46


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