Sequences and Series
In an A.P., if a=3.5, d=0, n=101, then an will be
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Insert three arithmetic means between 23 and 7.
If a,b,c are positive real numbers. Then prove that (a+1) 7(b+1) 7(c+1) 7>(7) 7a4b4c4
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.
Find the arithmetic mean between 9 and 19.
If the distinct points on the curve y=2x4+7x3+3x−5 are collinear, then find the arithmatic mean of x-coordinates of the aforesaid points
If an=43−(43)2+(43)3+...+(−1)n−1(43)n and bn=1−an, then find the least natural number n0 such that bn>an∀n≥n0.