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

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

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The 4th term of a G.P. is square of second term and first term is -3. Determine its 6th term.

The sum of first ten terms of an A.P. is 155 and the sum of first two terms of a G.P. is 9. The first term of the A.P. is equal to the common ratio of the G.P., and the first term of the G.P. is equal to the common difference of the A.P. Find the two progressions.

Find the nth term of GP if the first term is 7 and common ratio is 3.

In a G.P., the third term is 24 and the 6th term is 192. Find the 8th term .

Find the 5th term of GP if the first term is 4 and common ratio is 2.

Find the 7th term of GP if the first term is 7 and common ratio is 2.

In a G.P., the third term is 24 and the 6th term is 192. Find the 10th term .

The sum of the first four terms of an A.P. is 56. The sum of the last four terms is 112. If its first term is 11, then find the number of terms.

The third term of a GP is 3. What is the product of the first five terms?

The sum of first three terms of a G.P. is 39/10 and their product is 1 . Find the common ratio and the terms.

PSEB-SEQUENCES AND SERIES-EXERCISE
  1. If f is a function satisfying f(x+y)= f(x) f(y) for all x,y in N such ...

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

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

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

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

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

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

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

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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 a...

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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 + ...

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

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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.P....

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

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

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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 and...

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

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  20. Show that (1xx2^2+2xx3^2+....+nxx(n+1)^2)/(1^2xx2+2^2xx3+...+n^2xx(n+1...

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