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If f is a function satisfying f(x+y)=f(x)f(y) for all `x,yinN` such that `f(1)=3` and `underset(x=1)oversetnsumf(x)=120`, find the value of n.

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A N EXCEL PUBLICATION-SEQUENCES AND SERIES-QUESTION BANK
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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,yinN such that...

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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 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 4 terms of an A.P. is 56. The sum of the last 4 t...

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  9. If (a+bx)/(a-bx)=(b+cx)/(b-cx)=(c+dx)/(c-dx)(xne0) then show that a,b,...

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

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

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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 are ...

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  14. If a and b are the roots of x^2-3x+p=0 and c,d are the roots of x^2-12...

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  17. Find the sum of the following series upto n terms 0.6+0.66+0.666+…

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  19. Find the sum of the 1^(st) n terms of the series 3+7+13+21+31+…

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

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