Question

if the 6th term of an AP is -10and its 15th term is -46 then find the 10th term of AP

Answer 1

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Answer 2

tenth term is -26

6th term =-10

a+(n-1)d = -10

a+5d=-10__________(1)

15th term = -46

a+(n-1)d =-46

a+14d = -46 _________(2)

(1) - (2)

5d - 14d = -10- -46

5d - 14d = -10 + 46

-9d = 36

d= 36/-9 = -4

substituting d in (1)

a+5× -4 =-10

a + -20=-10

a= -10+20

a = 10

tenth term = a+9d

= 10+9×-4

= 10 -36

= -26