Question

07. The 6th term of an AP is - 10 and its 10th term is - 26. Determine the 15th term of the Ap.​

Answer 1

Step-by-step explanation:

t6 => a + 5d = -10

t10 => a + 9d = -26

By solving the equations,

d = -4

a = 10

t15 = a + 14d

= 10 - 56

= -46

Answer 2

T6 = a + 5d = -10 --(1)

T10 = a + 9d = -26 ---(2)

From eq(1) and eq(2)

-4d = 16

d = -16/4

d = -4

a = -10 - 5d

a = -10 - 5 × -4

a = -10 +20

a = 10

T15 = a + 14d

T15 = 10 + 14 ×(-4)

T15 = 10 + (-56)

T15 = 10 - 56

T15 = - 46 ans.

HOPE IT HELPS Garima..