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

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 `sum_(x=1)^n f(x)=120`, find the value of n.

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PSEB-SEQUENCES AND SERIES-EXERCISE
  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 such ...

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

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

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

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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.P. is 56. The sum of the last ...

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  9. If (a+bx)/(a-bx)=(b +cx)/(b-cx)=(c+dx)/(c-dx) (x ne 0), then show that...

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

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

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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 a...

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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 + ...

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

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  15. The ratio of the A.M. and G.M. of two positive numbers a and b, is m :...

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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.P....

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  17. Find the sum of the following series up to n terms: .6+. 66 +. 666+...

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  18. Find the 20th term of the series 2xx4 + 4xx6 + 6xx8 +...+n terms.

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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 and...

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