Question

Sum of three consecutive terms of an Arithmetic Progression is 42 and their product is 2520.
Find the terms of the Arithmetic Progression

Answer 1

Answer:

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Answer 2

10 , 14 , 18    or   18 , 14 , 10 are terms of the Arithmetic Progression if Sum of three consecutive terms of an Arithmetic Progression is 42 and their product is 2520.

Step-by-step explanation:

Let say three terms of an AP are

a - d  , a  , a + d

Sum = a - d + a + a + d = 3a

3a = 42

=> a = 14

(a - d)a (a + d) = 2520

=> (14 - d)14(14 + d) = 2520

=> 196 - d² = 180

=> d² = 16

=> d = ± 4

Three terms are  10 , 14 , 18    or   18 , 14 , 10

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