Question

If 6th term of an AP is -10 and its 10th term is -26, then its 15th term is

Answer 1

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6th Term

a+5d = -10 .......... (i)

10th Term

a+9d = -26 .......... (ii)

Equating equation (i)&(ii)

-4d = -16

d=4

Putting the value of d in eqn (i)

a+5 (4)= -10

a = -10-20

a = -30

15th Term

a+14d

-30+14 (4)

-30+56

26

So, the 15th term of A.P is

26

Answer 2

Step-by-step explanation:

Answer

6th Term

a+5d = -10 .......... (i)

10th Term

a+9d = -26 .......... (ii)

Equating equation (i)&(ii)

-4d = -16

d=4

Putting the value of d in eqn (i)

a+5 (4)= -10

a = -10-20

a = -30

15th Term

a+14d

-30+14 (4)

-30+56

26

So, the 15th term of A.P is

26