Question

the 6th term of AP -10 and its 10th term is -26 determine the 15th term

Answer 1

Answer:

15term is -54

Step-by-step explanation:

we know that in AP

nth term= a+(n-1)d

6th term = a+(6-1)d

-10=a+5d--->equation 1

10th term=a+(10-1)d

-26=a+9d----->equation 2

subtract equation 1 from equation 2

-26=a+9d

-10=a+5d

------------------

-16=4d

d= -4

substitute d value in any one of the above equations.

then we get a=10

finally..

15th term = a+(15-1)d

15th term =10+16×-4

15th term=10-64

15th term= -54

hope it helps..

ARIGATHO.