Home
Class 10
MATHS
If m times the m^(t h) term of an A.P. i...

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

Text Solution

Verified by Experts

The correct Answer is:
`therefore " " (m+n)^(th)` term of the A.P. is zero.
Promotional Banner

Topper's Solved these Questions

  • ARITHMETIC PROGRESSION

    CHETAN PUBLICATION|Exercise MASTER KEY QUESTION SET PRACTICE SET 3.4|6 Videos

  • ARITHMETIC PROGRESSION

    CHETAN PUBLICATION|Exercise PROBLEM SET 3|12 Videos

  • ARITHMETIC PROGRESSION

    CHETAN PUBLICATION|Exercise MASTER KEY QUESTION SET PRACTICE SET 3.2|11 Videos

  • PROBABILITY

    CHETAN PUBLICATION|Exercise ASSIGNMENT|20 Videos

  • CHALLENGING QUESTIONS

    CHETAN PUBLICATION|Exercise Mensuration|9 Videos

Similar Questions

Explore conceptually related problems

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 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 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 m^(th) term of an AP be (1)/(n) and n^(th) term (1)/(m) be , then show that its (mn)^(th) term is 1 .

If 100 times the 100^(t h) term of an AP with non zero common difference equals the 50 times its 50^(t h) term, then the 150^(t h) term of this AP is (1) 150 (2) 150 times its 50^(t h) term (3) 150 (4) zero

The 29^(th) term of an A.P is twice its 19^(th) term. Its 9^(th) term is equal to

If the 7^(th) term of n A.P is 40. Then the sum of its first 13 terms 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