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Total Questions: 525
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Sequences and Series (29 Items)

#1
Assertion (A): 1 + (2 + 3) +...
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#2
1.5 + 2.8 + 3.11 + ... n...
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#3
Let A be the set of first 101...
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#4
If sum_k=1^n a_k = 6n^3, then sum_k=1^6 ((a_k+1...
#5
Let a1, a2, a3, ... be an A.P....
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#6
The sum 1^3/1 + (1^3+2^3)/(1+3) + (1^3+2^3+3^3)/(1+3+5) +...
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#7
The first term of an A.P. of 30...
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#8
Let α = 1/4 + 1/8 + 1/16...
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#9
Let the sum of the first n terms...
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#10
The sum from n=1 to 10 of (528...
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#11
If the sum of the first 10 terms...
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#12
Let A₁, A₂, A₃, ..., A₃₉ be 39...
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#13
Let (2^(1-a) + 2^(1+a)), f(a), (3^a + 3^(-a))...
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#14
The sum 1 + 1/2(1^2 + 2^2) +...
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#15
Let alpha=3+4+8+9+13+14+... upto 40 terms. If (tanbeta)^(alpha/1020) is...
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#16
The value of 1^3 - 2^3 + 3^3...
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#17
The sum of the first ten terms of...
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#18
For the functions f(θ) = α tan²θ +...
#19
Let a1, a2, a3,.... be in an A.P....
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#20
The number of terms of an A.P. is...
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#21
If the sum of the first 10 terms...
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#22
The sum 1 + 3 + 11 +...
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#23
The sum 1 + (1+3)/2! + (1+3+5)/3! +...
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#24
If the sum of the first 20 terms...
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#25
Consider two sets A and B, each containing...
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#26
Let x1, x2, x3, x4 be in a...
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#27
Let an be the nth term of an...
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#28
If the sum of the second, fourth and...
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#29
If 1/1^4 + 1/2^4 + 1/3^4 + ......
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