Sequences and Series
Find the sum of first 25 terms of an A.P. whose nth term is 1−4n
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The least value of e sin−1x+e cos−1x is
If x > 0, then the minimum value of x1000+x900+x90+x6+x1996 is
Insert 17 arithmetic means between 321 and −4121.
For any triangle ABC which is not equilateral, the expression (b+c−a)(c+a−b)(a+b−c)−abc is
Find all possible integers whose geometric mean is 16.
In △ABC,∑(sinA sin2A+sinA+1 ) is always greater than
If A and G are A.M. and G.M. between two positive numbers a and b are connected by the relation A+G=a-b then the numbers are in the ratio
The time taken by Rohan in five different races to run a distance of 500 m was 3.20 minutes, 3.37 minutes, 3.29 minutes, 3.17 minutes and 3.32 minutes. Find the average time taken by him in the races.