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