Question

43) Four numbers are in AP. The sum of extremes is 10 and the product of the means
is 24. Find the numbers​

Answer 1

Answer:

first term = 5

common difference = 1

Explanation:

let the numbers in the AP as a-3d, a-d, a+d, a+3d

According to the question,

(a-3d)+(a+3d) = 10

→2a = 10

→a= 10/2 = 5 →(1)

and (a-d)(a+d) = 24

→a²-d² = 24

from (1) we get 5²-d² = 24

→d² = 25-24

→d = √1 = 1