Sequences and Series
If a,b,c are in A.P., then a2+4b3+c3 is equal to ______.
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If A1,A2,.....A31 are arithmetic means inserted between the numbers a and b, then find the value of (b−A51b+A51 )−(A1−aA1+a )
If a,b,c∈R+, then the minimum value of a(b2+c2)+b(c2+a2)+c(a2+b2) is equal to
Find the G.M of 6 and 24
If A.M. between p and q (p≥ q) is two times the G.M. then p:q is.
What is the minimum value of cos2a2+sin2xb2 where a >0 and b>0 ?
Insert five number between 8 and 26 such that the resulting sequence is an A.P.
Insert x arithmetic means between x2 and 1.
If three positive numbers a,b and c are in A.P. such that abc=8, then the minimum possible value of b is