Question
If the sums of $p, q$ and $r$ terms of an A.P. be $a, b$ and $c$ respectively then prove that $\frac{a}{p}(q-r)+\frac{b}{q}(r-p)+\frac{c}{r}(p-q)=0$
Step 1
P. be $b$ and $y$ respectively. Show more…
Show all steps
Your feedback will help us improve your experience
Hunny Aggarwal and 83 other Calculus 2 / BC educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
If the $p$ th,$q$ th and $r$ th terms of an A.P. be $a, b$ and $c$ respectively, then prove that $a(q-r)+b(r-p)+c(p-q)=0 .$
Sum of the first $p, q$ and $r$ terms of an A.P. are $a, b$ and $c$, respectively. Prove that $\frac{a}{p}(q-r)+\frac{b}{q}(r-p)+\frac{c}{r}(p-q)=0$
Sequences and Series
Sequences
If $a, b, c$ be respectively the $p$ th, $q$ th and $r$ th terms of an H.P., then prove that $b c(q-r)+c a(r-p)+a b(p-q)=0 .$
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD