Question

sum of 3terms of the AP is 27 if their product is 504 find the three terms​

Answer 1

Answer:

a = 9

d= 5

Explanation:

therefore your 3 terms are a-d= 9-5= 4

a=9

a+d=9+4= 13

hope you found your answer!

Answer 2

Question:

sum of 3terms of the AP is 27 if their product is 504 find the three terms

Answer:

9,4,14

Step by step explanation:

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

Given sum of the three terms = 27

• i.e a-d + a + a+d = 27
• 3a = 27
• a = 27/3
• a = 9 -----------(1)

Now, the product is 504

• i.e (a-d)(a)(a+d) = 504
• (9-d)(9)(9+d) = 504 ( From eq. 1 )
• (9-d) (9+d) = 56
• 9^2 - d^2 = 56 { (a-b)(a+b) = a^2 - b^2 }
• 81 - d^2 = 56
• d^2 = 25
• d = √25
• d = 5 -----------(2)

Now the terms we have are :-

a - d = 9 - 5 = 4

a + d = 9 + 5 = 14

a = 9