Home
Class 12
MATHS
We have a sequence a1, a2, ....oo where ...

We have a sequence `a_1, a_2, ....oo` where `a_1 = 4444, a_2 = - 1234` and `a_(k + 2) = a_(k+1)-a_k, k gt= 1.` The sum of first 404 terms is

Text Solution

Verified by Experts

The correct Answer is:
`3210`
Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - J) Aakash Challengers|12 Videos
  • SEQUENCES AND SERIES

    AAKASH INSTITUTE|Exercise Assignment (SECTION - H) True/False|5 Videos
  • RELATIONS AND FUNCTIONS

    AAKASH INSTITUTE|Exercise Assignment (Section - J) Aakash Challengers Questions|8 Videos
  • SETS

    AAKASH INSTITUTE|Exercise SECTION-I(Aakash Challengers Questions)|5 Videos

Similar Questions

Explore conceptually related problems

We have a sequence a_(1),a_(2),...oo where a_(1)=4444,a_(2)=-1234 and a_(k+2)=a_(k+1)-a_(k),k>=1. The sum of first 404 terms is

a_1 , a_2 , ......a_(10) are in G.P a_7/a_5=25 Find a_(10)/a_8

A sequence of integers a_1+a_2+......+a_n satisfies a_(n+2)=a_(n+1)-a_n for ngeq1 . Suppose the sum of first 999 terms is 1003 and the sum of the first 1003 terms is -99. Find the sum of the first 2002 terms.

For any three sets A_1 , A_2 ,A_3 . Let B_1 = A_1 , B_2 = A_2 - A_1 and B_3 = A_3 - A_1 cup A_2 , then which of the following statement is always true ?

Three distinct numbers a_1 , a_2, a_3 are in increasing G.P. a_1^2 + a_2^2 + a_3^2 = 364 and a_1 + a_2 + a_3 = 26 then the value of a_10 if a_n is the n^(th) term of the given G.P. is:

Let the sequence a_1 , a_2 , a_3 ......... a_n form an A.P. then a_1^2 - a_2^2 + a_3^2 - a_4^2 +.....+ a_(2n-1)^2 - a_(2n)^2 is equal to:- (1) n/(2n-1)(a_1^2-a_(2n)^2) (2) (2n)/(n-1)(a_(2n)^2-a_1^2) (3) n/(n+1)(a_1^2+a_(2n)^2) (4)none of these

Let the sequence a_1 , a_2 , a_3 ......... a_n form an A.P. then a_1^2 - a_2^2 + a_3^2 - a_4^2 +.....+ a_(2n-1)^2 - a_(2n)^2 is equal to:- (1) n/(2n-1)(a_1^2-a_(2n)^2) (2) (2n)/(n-1)(a_(2n)^2-a_1^2) (3) n/(n+1)(a_1^2+a_(2n)^2) (4)none of these