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If the sum of the first 2n terms of the AP 2,5,8.....is equal to the sum of the first n terms of the AP 57,59,61, ....then n equals

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If the sum of first 2n terms of the A.P. 2, 5, 8,…. Is equal to the sum of the first n terms of the A.P. 57, 59, 61,… then find n.

If the sum of first p terms of an A.P. is equal to the sum of the first q terms, then find the sum of the first (p + q) terms.

If the sum of the first m terms of an A.P. is equal to the sum of either the next n terms or the next p terms, prove that, (m+n)((1)/(m)-(1)/(p)) = (m+p)((1)/(m) - (1)/(n))

Mean of the first n terms of the A.P a,(a+d),(a+2d),….. is

The sum of the first p terms of an A.P. is q and the sum of the first q terms of the same A.P. is p. Find the sum of the first (p+q) terms of the A.P.

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If the sum of the first n terms of a G.P. = p and the sum of the first 2n terms = 3p, show that the sum of first 3n terms = 7p.

If the sum of the first 14 terms of an AP is 1050 and its first term is 10 , find the 20th term .

If the sum of the first 14 terms of an AP is 1050 and its first term is 10, find the 20th term.

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CENGAGE PUBLICATION-SEQUENCES AND SERIES-All Questions
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  2. Let alpha , beta be the roots of x^2-x+p=0 and gamma,delta be the root...

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  3. If the sum of the first 2n terms of the AP 2,5,8.....is equal to the s...

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  4. Statement 1: If the arithmetic mean of two numbers is 5/2 geometric ...

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  7. Consider an infinite geometric series with first term a and common rat...

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  8. The maximum sum of the series 20+19 1/3+18 2/3+...... is (A) 310 (B) ...

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  9. The sum of n terms of a progression is (2^n-1). Show that it is a GP a...

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  10. Let a1 , a2 ,... be in harmonic progression with a1 = 5 and a20 = 25. ...

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  11. An infinite G.P. has first term as a and sum 5, then a belongs to a) |...

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  12. Let Ssub(0,pi) denote the set of values of x satisfying the equation 8...

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  13. Find the number of terms of a G.P. whose first term is ¾, common ratio...

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  14. In an A.P. (with usual notations) : (i) given a = 7, a13 = 35, find ...

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  15. Find the geometric progression whose 4th term is 54 and the 7th term i...

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  17. The greatest integer by which 1+sum(r=1)^(30)rxxr ! is divisible is a....

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  18. (lim)(ntooo)sum(r=1)^n r/(1xx3xx5xx7xx9xx.....xx(2r+1)) is equal to 1/...

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  20. Find the third term of a G.P. whose common ratio is 3 and the sum of w...

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