| The average (arithmetic mean) of \[{{3}^{30}},\]\[{{3}^{60}}\]and \[{{3}^{90}}\] is |
A) \[{{3}^{60}}\]
B) \[{{3}^{177}}\]
C) \[{{3}^{27}}+{{3}^{57}}+{{3}^{87}}\]
D) \[{{3}^{29}}+{{3}^{59}}+{{3}^{89}}\]
Correct Answer: D
Solution :
| Required arithmetic average (mean) |
| \[=\,\,\frac{{{3}^{30}}+{{3}^{60}}+{{3}^{90}}}{3}={{3}^{29}}+{{3}^{59}}+{{3}^{89}}\] |
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