Question

The sum of three numbers in AP is -3 and their product is 8 find the numbers .
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Answer 1

Answer:

Step-by-step explanation:

Let the required terms be (a - d), a and (a + d).  

Then (a - d) + a + (a + d) = 21

⇒ 3a = 21

⇒ a = 7​

Also, (a - d)2 + a2 + (a + d)2​ = 165

⇒ 3a2 + 2d2 = 165  

⇒ ​(3 ⨯ 49​​ + 2 d2) = 165   ​  

⇒ 2d2 = 165 - 147 = 18  

⇒ d2  = 9​

⇒ d = ±3

Thus, a = 7 and d = ±3

Hence, the required terms are ( 4, 7,10) or ( 10, 7, 4).

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Answer 2

Answer:

The answer is a= -1 and d= + or - 3