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The first term of a G.P is 1. The sum of...

The first term of a G.P is 1. The sum of the third and fifth terms is 90. Find the common ratio of the G.P.

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The first term of a G.P. is 1. The sum of the third term and fifth term is 90. Find the C.R of the G.P

If the first term of a G.P is 1 and the sum of 3^(rd) and 5^(th) terms is 90 then the positive common ratio of the G.P. is

The third term of a GP is 4. Find the product of the first five terms.

The sum of an infinite G.P. is 57 and the sum of their cubes is 9747, then common ratio of the G.P. is

Suppose that a, ar , ar^2,ar^3,ar^4,ar^5 are the first 6 terms of a G.P If the ratio of the sum of first three terms and the sum of first 6 terms is 125:152 find the common ratio of the G.P

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The first term of an arithmetic sequence is 1 and the sum of the first four terms is 100 . Find the first four terms:

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V PUBLICATION-SEQUENCES AND SERIES-QUESTIONBANK
  1. If f is a function satisfying f(x+y)=f(x) . f(y) 'for all x, y in N su...

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

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

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

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

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

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

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

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  10. 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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  11. 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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  12. 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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  13. If A and G be A. M and G. M respectively between two positive numbers....

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

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

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

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

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  19. Find the sum to n terms of the series: (1^3)/(1)+(1^3+2^3)/(1+3) + ...

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  20. Show that (1 xx 2^2+2 xx 3^2+. .+n xx(n+1)^2)/(1^2 xx 2+2^2 xx 3+. .+n...

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