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MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
- Prove the following by using the principle of mathematical induction f...
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- Find the sum of the series 1*n+2*(n-1)+3*(n-2)+4*(n-3)+"..."+(n-1)*2+n...
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- Find the sum of n terms\ of the series: 1/(1. 2)+1/(2. 3)+1/(3. 4)+do...
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- Obtain the sum of the series : 1/1.4+1/4.7+1/7.10 + .......... to n t...
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- Find the sum of n terms of the series (1)/(1+1^(2)+1^(4))+(2)/(1+2^(2)...
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- Show that : (1 xx 2^2+2 xx 3^2+. .+n xx(n+1)^2)/(1^2 xx 2+2^2 xx 3+. ...
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- What will Rs 500 amounts to in 10 years after its deposit in a bank wh...
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- A man deposited ₹ 10,000 in a bank at the rate of 5% simple interest a...
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- If a, b, c are in A.P. then 3^a, 3^b, 3^c are in:
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- If the third term of an A.P is 12 and the seventh term is 24, then the...
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- If a, b, c, d, e,f are in A.P., then e - c is equal to
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- The third term of a GP is 3. What is the product of the first five ter...
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- 5th term of a G.P. is 2, then the product of first 9 terms is:
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- If the pth , qth , rth , terms of a GP . Are x,y,z respectively prove ...
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- The sum of the first n odd number is :
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- If the sum of n natural numbers is one sixth of their squares, then n ...
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- The sum of the numbers 1, 4, 9, 16, ... , 100 is :
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- If p, q, r are in A.P. while x, y, z are in G.P., prove that x^(q-r).y...
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- If a^x=b^y=c^z and a, b, c are in G.P. then x,y,z are in :
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- If a,b,c are in AP and (a+2b-c)(2b+c-a)(c+a-b)=lambdaabc, then lambda...
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