A sequence of integers a1,a2,......,an s...

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.

AI Generated Solution

Similar Questions

Explore conceptually related problems

The sum of the first n terms of an A.P.is 3n+n^(2) find "(1)" the first term "(2)" and the sum of the first two terms

Find the sum of first n terms of an AP whose n^(th) term is 5-6n .find the sum of its first 20 terms

Find the sum of first n terms and the sum of first 5 terms of the geometric series 1+(2)/(3)+

Find the sum of first n terms of an AP whose nth term is (5n-1). Hence,find the sum of first 20 terms.

In an arithmetic series, the sum of the first 2n terms is half the sum of the first 3n terms. If a = 12 and d = 3, find the value of n.

If the nth term of a AP is given by a_n=5n-3 , then the sum of first 10 terms is

In an A.P. find S_(n) where a_(n) = 5n-1 . Hence find the sum of the first 20 terms.

In an A.P, the sum of first 2n terms is equal to the sum of next n terms. Then the ratio of the sum of first 3n terms to the next n terms is

Find the sum of first 24 terms of the list of numbers whose nth term is given by a_(n)=3+2n