AM GM HM Inequality

Rarely Tested

Relationship between AM, GM and HM for two numbers a and b,

G.M=$$\sqrt{AM \times HM}$$
A.M ≥ G.M ≥ H.M
The equality holds true if and only if all the terms are equal. (AM = GM = HM)

Question 1

If the sum of X positive real numbers is X, then which of the following statements is true?

Question 2

If X, Y, Z are three natural numbers in A.P which of the following is false?

Question 3

If $$a_1 , a_2 , a_3$$ . . . and $$g_1 , g_2 , g_3$$, . . . are positive, non constant arithmetic and geometric progressions respectively and if $$a_{20} = g_{20}$$ and $$a_{40} = g_{40}$$, which of the following statements is true?

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Name	Date Taken	Score
Formula Test 1	NA	NA
Formula Test 2	NA	NA
Formula Test 3	NA	NA
Formula Test 4	NA	NA
Formula Test 5	NA	NA
Formula Test 6	NA	NA
Formula Test 7	NA	NA
Formula Test 8	NA	NA

Formula Test 1

Not attempted

Formula Test 2

Not attempted

Formula Test 3

Not attempted

Formula Test 4

Not attempted

Formula Test 5

Not attempted

Formula Test 6

Not attempted

Formula Test 7

Not attempted

Formula Test 8

Not attempted

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Other Progressions and Series Formulas

G.P. - Formulas and Properties

Harmonic Progression - Properties

A.P. - Formulas and Properties

Sum of special series till 'n' terms

AM GM HM Inequality

Formula Test 1

Formula Test 2

Formula Test 3

Formula Test 4

Formula Test 5

Formula Test 6

Formula Test 7

Formula Test 8

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