Question

`if 10th term of ap is 24 and 16 term of ap is 54 the find​

Answer 1

Answer:

AP: -21, -16, -11, -6, and so on

Step-by-step explanation:

a₁₀ = a + 9d

24 = a + 9d

a = 24 - 9d ----- (i)

a₁₆ = a + 15d

54 = a + 15d

a = 54 - 15d ----- (ii)

From (i) and (ii)

24 - 9d = 54 - 15d

24 - 54 = -15d + 9d

-30 = -6d

6d = 30

d = 5 ----- (iii)

On putting the value of d from (iii) in (i), we get,

a = 24 - 9(5)

a = 24 - 45

a = -21

Thus, the AP with a = -21 and d = 5 is:

-21, -16, -11, -6, and so on

Hope it helps!!!