The general term for a sequence is given as `a_n=a_[n-1]-a_[n-2]`.If `a_1=-5` and `a_2=4`. What is the sum of the first 100 terms?

Find the first 6 terms of the sequence given by a_1=1, a_n=a_(n-1)+2 , n ge 2

In the sequence a_n , then nth term is defined as (a_(n - 1) - 1)^2 . If a_(1) = 4 , then what is the value of a_2 ?

Consider the sequence defined by a_n=a n^2+b n+cdot If a_1=1,a_2=5,a n da_3=11 , then find the value of a_(10)dot

Consider the sequence defined by a_n=a n^2+b n+c dot If a_1=1,a_2=5,a n da_3=11 , then find the value of a_(10)dot

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.

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.

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.

A sequence of integers a_1+a_2++a_n satisfies a_(n+2)=a_(n+1)-a_nforngeq1 . 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.

A sequence of integers a_1+a_2++a_n satisfies a_(n+2)=a_(n+1)-a_nforngeq1 . 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.

Show that a_1,a_2,…..a_n ,..form an AP where a_n is defined as below:(i) a_n=9-5_n Also,find the sum of the first 15 terms in each case.