Question:
Find three arithmetic means between 6 and - 6.
Solution:
let the three AM be $\mathrm{X}_{1}, \mathrm{X}_{2}, \mathrm{X}_{3}$.
So new AP will be
$6, x_{1}, x_{2}, x_{3},-6$
Also - 6 = 6 + 4d
$d=-3$
$x_{1}=3$
$x_{2}=0$
$x_{3}=-3$
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