Sequences and Series
Check whether −150 is a term of the AP : 11,8,5,2.....
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Find the arithmetic mean between 9 and 19.
Between 1 and 31 we inserted m arithmetic means, so that ratio of the 7th and (m−1)th means is 5:9. Then the value of m is
After inserting n A.M.'s between 2 and 38, the sum of the resulting progressions is 200. The value of n is?
If a,b,c∈R+, then the minimum value of a(b2+c2)+b(c2+a2)+c(a2+b2) is equal to
If there are 3A.M′s between 4 and 84, find their sum.
If a,b,c∈R+ such that a+b+c=18, then the maximum value of a2b3c4 is equal to
A.M. of 1,2,x,3 is 0, then x= _____.
nA.M.s are inserted between 2 and 100 then sum of the A.M′s is