Home
Class 12
MATHS
If 100 times the 100^(t h) term of an ...

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

A

`-150`

B

150 times its 50 th term

C

150

D

Zero

Text Solution

Verified by Experts

The correct Answer is:
D
Given 100(a+99d)=50(a+49d)
`therefore` 2a+198d=a+49d
`therefore` a+149d=0
`therefore T_(150)=a+149d=0`
Promotional Banner

Topper's Solved these Questions

  • PROGRESSION AND SERIES

    CENGAGE|Exercise JEE Advanced Previous Year|16 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise ARCHIVES (MATRIX MATCH TYPE )|1 Videos

  • PROGRESSION AND SERIES

    CENGAGE|Exercise Exercise (Numerical)|28 Videos

  • PROBABILITY II

    CENGAGE|Exercise NUMARICAL VALUE TYPE|2 Videos

  • PROPERTIES AND SOLUTIONS OF TRIANGLE

    CENGAGE|Exercise JEE Advanced Previous Year|11 Videos

Similar Questions

Explore conceptually related problems

If 100 times the 100th term of an AP with non-zero common difference equals the 50 times its 50th term, then the 150th term of this AP is

If m times the mth term of an A.P. with non-zero common difference equals n times the nth term of the A.P., where m ne n , then (m+n)th term of this A.P. is

If '7' times the '7^(th)' term of an A.P is equal to '11' times of its '11^( th)' term then the '18^(th)' term of AP is

If m time the m^(th) term of an Arithmetic Progression is equal to n times its n^(th) term and mnen ,show that the (m+n)^(th) term of the AP is zero .

If the first term of an A.P. is a and n t h term is b , then its common difference is

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

If 3 times the 3^(rd) term of an A.P is equal to 5 times the 5^("th") term, then find its 8^("th") term