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CBSE COMPLEMENTARY MATERIAL-SEQUENCES AND SERIES -SECTION-D (LONG ANSWER TYPE QUESTIONS )
- Prove that the sum of n numbers between a and b such that then(a + b)r...
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- A square is drawn by joining the mid points of the sides of a square. ...
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- If a, b, c are in G.P., then prove that (1)/(a^(2)-b^(2))-(1)/(b^(2)-c...
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- Find two positive numbers whose difference is 12 an whose A.M. exce...
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- If a is A.M. of b and c and c,G(1),G(2),b are in G.P., then find the v...
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- Find the sum of the series,1.3.4 + 5.7.8 + 9.11.12 +.............. upt...
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- Evaluatesum1^10(2r-1)^2
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- The sum of an infinite GP is 57 and the sum of their cubes is 9747. Fi...
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- If (10)^9 + 2(11)^1 (10)^8 + 3(11)^2 (10)^7+...........+10 (11)^9= k ...
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- The sum of the first n terms of the series (1)/(2)+(3)/(4)+(7)/(8)+(15...
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- Three positive numbers form an increasing GP. If the middle term in th...
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- If a,b,c are in AP, show that 1/((sqrtb+sqrtc)),1/((sqrtc+sqrta)),1/...
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- Find the sum of the series 1-3/2+5/4-7/8+9/16..........oo
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- In the sum of first n terms of an A.P. is cn^2, then the sum of square...
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- Let pa n dq be the roots of the equation x^2-2x+A=0 and let ra n ds be...
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- If S(1), S(2), S(3),...,S(n) are the sums of infinite geometric series...
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- If the m th, n th and p th terms of an AP and GP are equal and are x ,...
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- The sum of an infinite GP is 57 and the sum of their cubes is 9747. Fi...
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- Find three numbers in G.P. whose sum is 13 and the sum of whose square...
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