hi, can someone pls give a detailed , step by step answer for the given question ?? show that the sum of an a.p whose first term is a, second term is b, and the last term is c is equal to-- (a+c) * (b+c-2a) / 2(b-a )

Question

Vijay Mukati · Answer

Dear Student,

As the sum of n terms of an AP whose, first term is a an last terms is l is given by:

S = (n/2)(a + l)

We have, first term = a, second term = b and last term = c
using a, b, and c find the number of terms, as we know that,
c = a + (n-1)(b-a) from here find thevalue of n and just replace in above formula to calculate the sum of terms in an AP.

Best of Luck!
Vijay

DAN BROWN · Answer

hello sir, i tried doing what you asked, but am still not getting it. pls help. ( instead of writing, if you culd send a pic it would help me understand better.) regards, dan brown ( i do not wish to reveal my name )

Vijay Mukati · Answer

on simplifying, c = a + (n-1)(b-a) we get, n = (c + b &ndash; 2a)/(b-a) Now this value of n in S = n/2*(a + c) we get, S = (a + c)*(c + b -2a)/2(b-a) I hope the steps are clear now. Thanks. Vijay

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hi, can someone pls give a detailed , step by step answer for the given question ?? show that the sum of an a.p whose first term is a, second term is b, and the last term is c is equal to-- (a+c) * (b+c-2a) / 2(b-a )

hi,
can someone pls give a detailed , step by step answer for the given question ??

show that the sum of an a.p whose first term is a, second term is b, and the last term is c is equal to-- (a+c) * (b+c-2a) / 2(b-a )

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hi, can someone pls give a detailed , step by step answer for the given question ?? show that the sum of an a.p whose first term is a, second term is b, and the last term is c is equal to-- (a+c) * (b+c-2a) / 2(b-a )

hi,can someone pls give a detailed , step by step answer for the given question ?? show that the sum of an a.p whose first term is a, second term is b, and the last term is c is equal to-- (a+c) * (b+c-2a) / 2(b-a )

3 Answers

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hi,
can someone pls give a detailed , step by step answer for the given question ??

show that the sum of an a.p whose first term is a, second term is b, and the last term is c is equal to-- (a+c) * (b+c-2a) / 2(b-a )