Question

the sum 3 terms of AP is 26 and its product is 504 find those 3 numbers

I want answer please solve this problem ​

Answer 1

Answer:

4, 9, 14 are the terms of AP

Step-by-step explanation:

Look like Sum is 27

Let the second term of the AP be ' a ' and the common difference be ' d '

Terms will be :

• First term = a - d
• Second term = a
• Third term = a + d

Sum of terms = 27

=> a - d + a + a + d = 27

=> 3a = 27

=> a = 27 / 3

=> a = 9

Product of terms = 504

=> ( a - d )( a )( a + d ) = 504

=> ( a² - d² )( a ) = 504

=> ( 9² - d² )( 9 ) = 504

=> 81 - d² = 504 / 9

=> 81 - d² = 56

=> 81 - 56 = d²

=> 25 = d²

=> √25 = d

=> d = ± 5

- 5 is the common difference of reversed AP

Terms of AP :

• a - d = 9 - 5 = 4
• a = 9
• a + d = 9 + 5 = 14