Home › IBPS RRB › Reasoning › series_coding_relations › If A and G are the A.M. and G.M. of two positive…
If A and G are the A.M. and G.M. of two positive numbers, which is never smaller?
AThe arithmetic mean
BThe geometric mean
CNeither of the two
DBoth, always equal
Answer & Solution
Correct answer: A. The arithmetic mean
1. A minus G equals half a squared difference.
2. A square cannot be negative.
3. So the arithmetic mean is never smaller.
_Source: NCERT Class 11 Mathematics, Chapter 8, Sequences and Series._
Related questions
Inserting two numbers between 3 and 81 so the sequence is a G.P. gives:Rs 500 deposited at 10 percent compounded annually grows each year by a constant ratio of:30 bacteria double every hour. After 2 hours there are:Between 1 and 256 the real values of r that work are:Inserting three numbers between 1 and 256 to form a G.P. gives r to the fourth equal to:The geometric mean of two positive numbers a and b is:Over ten generations, a person's ancestors sum to 2046, computed using the sum formula of The sum 7 + 77 + 777 + ... to n terms is found by: