Ask Questions, Get Answers

Want to ask us a question? Click here
Browse Questions
Home  >>  CBSE XI  >>  Math  >>  Sequences and Series
0 votes

If the sum of first $p$ terms of an $A.P.$ is equal to sum of first $q$ terms, then find the sum of first $p+q$ terms of the $A.P.$

$\begin{array}{1 1}0 \\ p+q \\ q \\p\end{array} $

Can you answer this question?

1 Answer

0 votes
  • Sum of first $n$ terms of an $A.P.=S_n=\large\frac{n}{2}$$[2a+(n-1)d]$
Given that the sum of first $p$ terms=sum of first $q$ terms of an $A.P.$
But we know that sum of first $p+q$ terms= $S_{p+q}=\large\frac{p+q}{2}$$[2a+(p+q-1)d]$
$\therefore\:$from (A) $S{p+q}=0$
answered Feb 23, 2014 by rvidyagovindarajan_1

Related questions

Ask Question
student study plans
JEE MAIN, CBSE, NEET Mobile and Tablet App
The ultimate mobile app to help you crack your examinations
Get the Android App