Question

Find the 10 arithmetic means between 2 and 90

Answer 1

Answer:

here is the common difference is 8 therefore the 10 arithmetic mean between 2 and 90 are

10,18,26,34,42,50,58,66,74,82.

Answer 2

Given,

The first term of the series$\[ = 2\]$

The common difference$\[ = 8\]$

The last term$\[ = 82\]$

Solution,

So, the series is $\[10,18,26,34,42,50,58,66,74\,{\rm{and}}\,82.\]$

Therefore, the arithmetic mean is as follows

$\[\begin{array}{l} = \frac{{10 + 18 + 26 + 34 + 42 + 50 + 58 + 66 + 74\, + 82}}{{10}}\\ = \frac{{460}}{{10}}\\ = 46\end{array}\]$

Hence, the arithmetic mean is $\[46.\]$