Question

If the sum of 3 terms of an AP is 24 and their product is 440 then find the terms


Only correct answer but no G. O. O. G. L. E attachment please ​

Answer 1

Step-by-step explanation:

Given:-

Sum of first three terms is 24

Let us assume the first three terms are a – d, a, a + d [where a is the first term and d is the common difference]

So, sum of first three terms is a – d + a + a +

d = 24

3a = 24

a = 8

It is given that the product of three terms is 440

So a^3 – ad^2 = 440

Substitute the value of a = 8, we get

➽ 8^3 – 8d2 = 440

➽ 512 – 8d2 = 440

➽ 72 = 8d^2

d = 3 or d = – 3

Hence, the given terms are a – d, a, a + d which is 5, 8 and 11 Ans.✔

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