Home
Class 12
MATHS
Let a(n) be the nth term of an A.P. If s...

Let `a_(n)` be the nth term of an A.P. If `sum_(r=1)^(100) a_(2r) = alpha` and `sum_(r = 1)^(100) a_(2r-1) = beta`, then the common difference of the A.P. is `:`

A

`alpha - beta`

B

`( alpha - beta)/( 100)`

C

`beta - alpha`

D

`( alpha - beta) / ( 200)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise Recent competitive Questions|5 Videos
  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise MCQ ( Level-II)|77 Videos
  • RELATIONS

    MODERN PUBLICATION|Exercise RCQS|6 Videos
  • SETS

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|6 Videos

Similar Questions

Explore conceptually related problems

Let a_(n) be the nth term of an AP, if sum_(r=1)^(100)a_(2r)= alpha " and "sum_(r=1)^(100)a_(2r-1)=beta , then the common difference of the AP is

Let a_(n) be the nth term of an AP, if sum_(r=1)^(100)a_(2r)= alpha " and "sum_(r=1)^(100)a_(2r-1)=beta , then the common difference of the AP is

Let a^(n) be the nth term of the G.P. of positive numbers. Let sum_(n=1)^(100) a_(2n) = alpha and sum_(n=1)^(100) a_(2n-1) = beta , such that alpha cancel(=)beta then the common ration is :

If the sum of n terms of an A.P. is given by S_(n)=n^(2)+n , then the common difference of the A.P. is

The sum of the first 8 terms of an A.P. is 100 and the sum of its first 19 terms is 551. Find the first term and the common difference of the AP.

If sum_(r=1)^n t_r=n/8(n+1)(n+2)(n+3), then find sum_(r=1)^n1/(t_r)dot

If the sum of n terms of an A.P. is given by : S_(n) = 3n+ 2n^(2) , then the common difference of the A.P. IS :

Write the first 4 terms of an A.P. Where a_(n) = 4n +3 .

A person is to count 4500 currency notes. Let a_(n) denote the number of notes he counts in the nth minute. If a_(1) = a_(2) = "………" = a_(10) = 150 and a_(11) , a_(12),"……….." are in an A.P. with common difference -2, then the time taken by him to count at notes is :

What is the common difference of an A.P. in which a_(12) - a_(8) = 24 ?