Sequences and Series
Show that the progression given below in an AP. Find the first term, common difference and next term.20,45,80,125,......
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The sum of (x+5) observations is (x4−625). Find the mean of the observations.
The minimum value of the sum of real numbers a−5+a−4+3a−3,1,a8 and a10 with a>0 is
If a,b,c are positive real numbers. Then prove that (a+1) 7(b+1) 7(c+1) 7>(7) 7a4b4c4
If the product of two positive numbers is 256 then the least value of their sum is
If a,b,c,d,e are five positive numbers then
The sum of two numbers is 261. An even number of arithmetic means are being inserted between them and their sum exceeds their number by 1. Find the number of means inserted.
I: The real number x when added to its inverse gives the minimum positive value of the sum at x = 1II: If product of the two positive numbers is 400, then the minimum value of their sum is 20which of the above statements are true
Insert 20 AM. between 2 and 86.