TCS Company Numerical Ability Permutation and Combination

what is the sum of
1!+2!+3!+4!+....+50!

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TCS Other Question

In a sequence of integers A(n)=A(n-1)-A(n-2) , where A(n) is the nth term in the sequence, n is an integer and n>=3, A(1)=1,A(2)=1. Calculate S(1000), where S(1000) is the sum of first 1000 terms
(1)2
(2)3
(3)4
(4)0
The sequence is defined by A(1)=2 and A(n+1)=A(n)+2n What is the value of A(100)
(1)9902
(2)9900
(3)10100
(4)9904