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If f is a function satisfying f(x+y)=f(x...

If `f` is a function satisfying `f(x+y)=f(x) . f(y)` 'for all `x, y in N` such that `f(1)=3`. And `overset(n)sum_(x=1) f(x)=120`, find the value of `n .`

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V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
  1. Find the sum of integers from 1 to 100 that are divisible-by 2 or 5 .

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  2. Find the sum of all two digit numbers which when divided by 4, yields ...

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  3. If f is a function satisfying f(x+y)=f(x) . f(y) 'for all x, y in N su...

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  4. The sum of some terms of G.P.is 315 . whose first term and the common ...

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  5. The first term of a G.P is 1. The sum of the third and fifth terms is ...

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  6. The sum of three numbers in G.P is 56 : If we subtract 1,7,21 from the...

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  7. A G.P consists of an even number of terms. If the sum of all the term...

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  8. The sum of the first four terms of an A.Pis 56. The sum of the last fo...

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  9. If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+d x)/(c-d x)(x ne 0), then show ...

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  10. Let S be the sum, P, the product and R the sum of reciprocals of n ter...

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  11. The p^ (th) , q^ (th) and r^ (th) terms of an A.P. are a, b, c respe...

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  12. If a (1/b+1/c), b(1/c+1/a), c(1/a+1/b) are in A.P. Prove that a, b, c ...

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  13. If a, b, c, d are in G.P. Prove that (a^n+b^n),(b^n+c^n),(c^n+d^n) are...

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  14. If a and b are the roots of x^2-3 x+p=0 and c and d are roots of x^2-1...

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  15. If A and G be A. M and G. M respectively between two positive numbers....

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  16. If a, b, c are in A.P, b, c, d are in G.P. and 1/c , 1/d,1/e are in A....

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  17. Find the sum to n terms of the series: 5+55+555+………..

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  18. Find the 20^( th) term of the series 2 xx 4+4 xx 6+6 xx 8+. . .,+ n t...

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  19. Find the sum of the first n terms of the series : 3+7+13+21+31+. . .

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  20. If S1, S2, S3 are the sum of first n natural numbers, their squares an...

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