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