A sequence of numbers is defined as 2 = an – an-1. Sn is sum upto n terms in this sequence and a3 = 5. How many values m, n exist such than Sm – Sn = 65?
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6 + 24 + 60 + 120 + 210 + 336 + 504 + 720…. upto 10 terms is equal to?
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1(1!) + 2(2!) + 3(3!) + 4(4!)………….50(50!) is a multiple of prime P. P lies in the range........?
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2 + 6 + 10 + 14 ………..upto n term is given by Sn. How many of the following statements are true?
1. S2m – S2k could be a multiple of 16
2. 18Sn is a perfect square for all n
3. S2n > 2Sn for all n > 1
4. Sm+n > Sm + Sn for all m, n > 1
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