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Arithmetic Mean

Find the arit...

Question

Find the arithmetic mean of :

(i) -5 and 41

(ii) 3x - 2y and 3x + 2y

(iii) $(m + n^{2}) a n d (m - n)^{2}$

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Solution

(i) -5 and 41
A= $\frac{- 5 + 41}{2}$ = $\frac{36}{2}$ =18

(ii) 3x - 2y and 3x + 2y
A= $\frac{3 x - 2 y + 3 x + 2 y}{2}$ = 3x

(iii) $(m + n^{2}) a n d (m - n)^{2}$
A= $\frac{(m+n^2) + (m−n)^2}{2}$
= $\frac{m + m^{2} + 2 n^{2} - 2 m n}{2}$

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