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NCERT BANGLISH-SEQUENCES AND SERIES-Miscellaneous Exercise On Chapter 9
- If f is a function satisfying f (x +y) = f(x) f(y) for all x, y in N ...
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- The sum of some terms of G.P. is 315 whose first term and the common r...
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- The first term of a G.P. is 1. The sum of the third term and fifth ter...
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- The sum of three numbers in G.P. is 56. If we subtract 1, 7, 21 from t...
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- A G.P. consists of an even number of terms. If the sum of all the term...
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- The sum of the first four terms of an A.P. is 56. The sum of the last ...
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- If (a+bx)/(a-bx)=(b+cx)/(b-cx)=(c+dx)/(c-dx)( x ne 0) then show that ...
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- Let S be the sum, P the product and R the sum of reciprocals of n term...
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- The p^(th), q^(th) and r^(th) terms of an A.P. are a, b, c, respectiv...
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- 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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- 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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- If a and b are the roots of x^2 – 3x + p = 0 and c, d are roots of x^...
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- The ratio of the A.M. and G.M. of two positive numbers a and b, is m :...
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- 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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- Find the sum of the following series up to n terms: 5+55+555+......
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- Find the 20^(th) term of the series 2 xx 4 + 4 xx 6 + 6 xx 8 + ... + ...
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- Find the sum of the first n terms of the series: 3+ 7 +13 +21 +31 +......
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- If S1, S2, S3 are the sum of first n natural numbers, their squares a...
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- Find the sum of the following series up to n terms: 1^3/1+(1^3+2^3)/...
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- Show that (1xx2^2+2xx3^2+...+nxx(nxx1)^2)/(1^2xx2+2^2xx3+...+n^2xx(n+1...
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