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ALLEN-SEQUENCE AND PROGRESSION-Exercise O-2
- If a, b, c are in AP, then (a - c)^(2) equals
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- If for an A.P. a1,a2,a3,........,an,........a1+a3+a5=-12 and a1a2a3=8,...
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- If the sum of the first 11 terms of an arithmetical progression equals...
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- Let s(1), s(2), s(3).... and t(1), t(2), t(3).... are two arithmetic s...
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- If x ∈ R and the numbers (5 ^ (1−x) +5^ (x+1) , a/2, (25^ x +25^ −x ...
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- Along a road lies an odd number of stones placed at intervals of 10 m....
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- In an A.P. with first term 'a' and the common difference d(a, d!= 0), ...
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- Let an, n in N is an A.P with common difference d and all whose terms ...
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- Let a(1), a(2),…. and b(1),b(2),…. be arithemetic progression such tha...
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- The arithmaeic mean of the nine numbers in the given set {9,99,999,….....
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- If (1 + 3 + 5 + .... " upto n terms ")/(4 + 7 + 10 + ... " upto n term...
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- If a != 1 and l n a^(2) + (l n a^(2))^(2) + (l n a^(2))^(3) + ... = 3 ...
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- The sum of the first three terms of an increasing G.P. is 21 and the s...
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- a, b, c are distinct positive real in HP, then the value of the expres...
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- An H.M. is inserted between the number 1/3 and an unknown number. If w...
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- If abcd = 1, where a,b,c and d are positive real numbers, then find th...
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- If 27 abc>= (a+b+c)^3 and 3a +4b +5c=12 then 1/a^2+1/b^3+1/c^5=10, w...
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- If x=sum(n=0)^ooa^n , y=sum(n=0)^oob^n , z=sum(n=0)^ooc^n , w h e r e ...
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