In an A.P sum of three number in A.P is 24 product is 480 write three terms of an A.P

In an A.P sum of three number in A.P is 24 product is 480 write three terms of an A.P

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  1. Answer:

    Let the three terms be a – d, a, a + d

    Sum = 24 Product = 480

    ∴a−d+a+a+d=24

    3a=24

    ∴a=8

    (a−d)(a)(a+d)=480

    (8−d)(8)(8+d)=480[∵a=8]

    (8−d)(8+d)=60

    64−d2=60

    d2=±4=±2

    If a=8,d=2 the terms are

    a−d=8−2=6,a=8,a+d=8+2=10

    ∴ the term are 6,8,10.

    We will get the same values if we’ll consider d=−2.

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