11 JEE Main 2014 Sequences and Series previous-year questions with verified answers and step-by-step solutions.
These are the JEE Main 2014 previous-year questions from the Sequences and Series chapter of Mathematics. Each links to a full solution with a verified answer key. To see the whole chapter across all years, visit the Sequences and Series chapter hub.
Let f ⁡ n = 1 3 + 3 n 100 n , where [ n ] denotes the greatest integer less than or equal to n . Then ∑ n =…
If 1+x⁴+x⁵=₌₀⁵ ai (1+xⁱ ), for all x in R, then a₂ is:
Let G be the geometric mean of two positive numbers a and b, and M be the arithmetic mean of 1a and 1~b. If 1M: G is 4:…
If ( 10 ) 9 + 2 ( 11 ) 1 ( 10 ) 8 + 3 ( 11 ) 2 ( 10 ) 7 + ...... + 10 ( 11 ) 9   = k ( 10 ) 9 , then k is equal to…
Three positive numbers form an increasing G . P . If the middle term in this G . P . is doubled, the new numbers are in…
In a geometric progression, if the ratio of the sum of first 5 terms to the sum of their reciprocals is 49 , and the su…
The sum of the first 20 terms common between the series 3+7+11+15+ and 1+6+11+ 16+… .. is
The least positive integer n such that 1-(2)/(3)-(2)/(3²)-… .-23ⁿ⁻¹ < (1)/(100), is:
The number of terms in an A . P . is even, the sum of the odd terms in it is 24 and that the even terms is 30 . If the…
Given an A.P. whose terms are all positive integers. The sum of its first nine terms is greater than 200 and less than…
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