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NAGEEN PRAKASHAN ENGLISH-SEQUENCE AND SERIES-Miscellaneous Exercise
- Find the sum of all two digit numbers which when divided by 4, yiel...
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- If f is a function satisfying f(x+y)=f(x)f(y)for all x ,y in Xsuch t...
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- The sum of some terms of G. P. is 315 whose first term and the comm...
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- The first term of a G.P. is 1. The sum of the third and fifth terms is...
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- The sum of three numbers m GP is 56. If we subtract 1.7,21 from the...
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- A G.P. consists of an even number of terms. If the sum of all the t...
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- The sum of the first four terms of an A.P. is 56. The sum of the la...
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- If (a+b x)/(a-b x)=(b+c x)/(b-c x)=(c+dx)/(c-dx)(x!=0),then show that...
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- LetS be the sum, P the product, and R the sum of reciprocals of n term...
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- The p^(t h),q^(t h)and r^(t h)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 a...
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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+a^n)ar...
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- If a and b are the roots of x^2-3x+p=0and c, d are roots of x^2-12 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 a...
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- Find the sum of the following series up to n terms: (i) 5" "+" "55" "+...
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- Find the 20th term and the sum of 20 terms of the series: 2xx4+4xx6+6x...
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- Find the sum of first n terms of the following series: 3+7+13+21+31+ d...
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- If S1,S2,S3are the sum of first n natural numbers, their squares and ...
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- Find the sum o the following series to n terms: (1^3)/1+(1^3)/(1+3)+(1...
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