If the sum of first 2n terms of the A.P....

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.

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The correct Answer is:

n = 11

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CHHAYA PUBLICATION-SEQUENCE AND SERIES-Exercise 9 B (Long Answer Type Questions)

The sum of first 21 terms of an A.P. is 28 and the sum of the 1st 28 t...
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If the sum of first 2n terms of the A.P. 2, 5, 8,…. Is equal to the su...
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Let S(n) be the sum of first n terms of an A.P. If S(2n) = 5s(n), then...
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The sum of the first p terms of an A.P. is q and the sum of the first ...
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If the pth and qth terms of an A.P. be a and b respectively, show that...
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If S(1), S(2), S(3) be the sums of n terms of three aA.P.'s, the first...
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If the sums of n, 2n and 3n terms of an A.P. be S(1), S(2), S(3) respe...
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The sums of n terms of two A.P.'s are in the ratio (4n-13) : (3n + 10)...
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The sums of first n terms of two A.P.'s are in the ratio (3n+5) : (5n ...
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Insert a number of arithmetic means between 4 and 34 such that the sum...
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If a, b, c are in A.P. then show that, a((1)/(b)+(1)/(c )), b((1)/(c )...
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Three positive numbers a, b, c are in A.P. Prove that (1)/(sqrt(b)+sqr...
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If a(1), a(2), a(3),…, a(n) be in A.P. Show that, (1)/(a(1)a(2)) + (...
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If a(1), a(2), a(3),…, a(2k) are in A.P., prove that a(1)^(2) - a(2)^(...
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If (b-c)^(2), (c-a)^(2), (a-b)^(2) are in A.P. then prove that, (1)/(b...
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Find the sum to n terms of each of the following series : 2.4 + 6.8 ...
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Find the sum to n terms of each of the following series : 1^(2) + 3^...
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Find the sum to n terms of each of the following series : 1.3 .5 + 3...
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Find the sum of the following series : 3.1^(2) + 4.2^(2) + 5.3^(2) +...
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Find the sum of the following series : 1+3+6+10+15+… to n terms.
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