Question

Sum of three numberin ap is 30 and product is 960

Answer 1

So the numbers are 8, 10, 12.

The series is 8, 10, 12, ........ or 12, 10, 8, ..... (ans)


I hope it will help u.

Answer 2

Answer:

The three terms are 8, 10 and 12

Step-by-step explanation:

the given sum might be about finding the three terms of AP

Given data

sum of three terms in AP = 30

product of three terms     = 960

here we need to terms of AP

Let  a-d, a and a+2d are be the 3 terms of the AP

sum of three terms = 30

a - d + a + a + d = 30

                   3a  = 30

                      a = 10

product of 3 terms = 960

      (a - d) (a)(a + d) = 960

           ( a² - d²) (a)  = 960

substitute a = 10

            (10² -  d²)(10) = 960

                     10² - d² = 96

                    100 - d² = 96        

                             d² = 4

                             d  =  2  

the required three terms are

     a - d = 10 - 2 = 8

          a  = 10    

     a + d = 10 + 2 = 12