Question

In an A.P. sum of three consecutive term is 33. Product of the first term and second term is 88, find the tetm​

Answer 1

Please see the attachment for your detailed answer...

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Answer 2

Answer:

The terms of the AP are 8, 11, 14

Step-by-step explanation:

Given data

in an AP  sum of three consecutive terms = 33

product of the first term and second term = 88  

here we need to find the terms of AP  

Let (a-d), a and (a+d) be the 3 consecutive terms of AP  

from given data  a-d +a +a +d = 33  

                                            3a = 33

                                               a = 11    

and product of    (a-d)(a) = 88  

                             (11-d) 11 = 88

                                 11 - d = 8

                                       d = 3  

the three terms        a-d  = 11 - 3 = 8

                                     a  = 11

                                  a+d = 11 + 3 = 14