Show that the sum of (m+n)^(th)and(m-n)^...

Show that the sum of `(m+n)^(th)and(m-n)^(th)` term of an A.P is equal to twice the `m^(th)` term.

BINOMIAL THEOREM, SEQUENCES AND SERIES
SURA PUBLICATION|Exercise EXERCISE 5.4|17 Videos
BINOMIAL THEOREM, SEQUENCES AND SERIES
SURA PUBLICATION|Exercise EXERCISE 5.5|19 Videos
BINOMIAL THEOREM, SEQUENCES AND SERIES
SURA PUBLICATION|Exercise EXERCISE 5.2|20 Videos
BASIC ALGEBRA
SURA PUBLICATION|Exercise SECTON - D (5 MARKS)|5 Videos
COMBINATORICS AND MATHEMATICAL INDUCTION
SURA PUBLICATION|Exercise ADDITIONAL PROBLEMS (section - D)|5 Videos

Similar Questions

Explore conceptually related problems

If 6 times of 6^(th) term of an A.P is equal to 7 times the 7^(th) term , then the 13^(th) term of the A.P. is ………… .

If the p^(th) term if an A.P. is q and the q^(th) term of an A.P is p then the r^(th) term is

If p^(th) term of an AP is q and q^(th) term is p, find (p+q)^(th) term.

If m times the m^(th) term of an A.P. is equal to n times its n^(th) term, then show that the (m + n)th term of the A.P. is zero.

If 6 times of 6th term of an A.P. is equal to 7 times term, then the 13th term of the A.P. is

If the sum of 12^(th) and 22^(nd) terms of an A.P is 100, then the sum of the first 33 terms of the A.P is

If the 10^(th) term of G.P is 9 and 4^(th) term is 4 then its 7^(th) term is

The ratio of the sum of m and n terms of an A.P. is m^(2):n^(2) . Show that the ratio of m^(th) and n^(th) term is 2m - 1 : 2n - 1 .