find 3 numbers
numbers in A.P whose sum is 24 and where
product is 440
Answers
Answered by
1
Answer:
bruh
Step-by-step explanation:
moment
Answered by
1
Let’s assume the terms in the A.P to be (a – d), a, (a + d) with common difference as d.
Given conditions,
Sn = 24
(a – d) + a + (a + d) = 3a = 24
a = 24/3 = 8
Therefore:
Product of terms = 440
(a – d) x a x (a + d) = 440
a(a2 – d2) = 440
8(64 – d2) = 440
(64 – d2) = 55
d2 = 9
d = ± 3
Hence,
When a = 8 and d = 3, we have
A.P. = 5, 8, 11
And, when a = 8 and d = -3 we have
A.P. = 11, 8, 5
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