Question

there are n arithmetic means between 4 and 24. If the ratio of third mean to the last mean is 4:5 then find the number of terms in the series.

Answer 1

x : 4 : : x : 24
> 4 : 4 : : 5 : 24
If you want to bring the product of means and extremes then ,
> Product of means = Product of extremes
> 4 * 24 = 5 * 4
> 96 = 20