Question

In an arthmetic progressive the sum of the three terms is 24, and their product is 480, write three terms os the arthmetic progression?​

Answer 1

Step-by-step explanation:

suppose the three terms be " a - b, a, a + b "

Sum = 24                  

a-b+a+a+b=24

3a=24

∴a=8

Product = 480

(a−b)(a)(a+b)=480

(8−b)(8)(8+b)=480 {( we know a=8)}

(8−b)(8+b)=60 {we know (a-b)(a+d)=a^2-b^2}

64−b^2=60

b^2=4

b=2

 a=8,b=2 

a−b=8−2=6,

a=8,

a+d=8+2=10

terms are 6,8,10.

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