Question
The $m$ th term of an A. P. is $n$ and its $n$ th term is $m$. Prove that its $p$ th term is $m+n+p$. Also show that its $(m+n)$ th term is zero.
Step 1
P.) is given by $a + (m-1)d = n$ and the $n$th term is given by $a + (n-1)d = m$. Show more…
Show all steps
Your feedback will help us improve your experience
Arjun Singh and 64 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 $m$ th term of an H.P. is $n$ and $n$ th term be $m$, then prove that $(m+n)$ th term is $\frac{m n}{m+n}$.
The $p$ th term of an A.P. is $a$ and $q$ th term is $b$. Prove that sum of its $(p+q)$ terms is $\frac{p+q}{2}\left[a+b+\frac{a-b}{p-q}\right.$.
If in an A.P the sum of $p$ terms is equal to sum of $q$ terms, then prove that the sum of $p+q$ terms is zero.
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD