Answer:
The five arithmetic means between 14 and 86 are 26,38,50,62,74
Step-by-step explanation:
We need to find five arithmetic means between 14 and 86
The formula used to find arithmetic mean is:
Where n is the number of terms and d is the common difference
We are given 1st and 7th term.
Using 7th term to find value of d
So, difference between each term d is 12
Now finding five arithmetic terms i.e a₂, a₃, a₄, a₅, a₆
Using the formula to find terms
Finding term a₂
Finding term a₃
Finding term a₄
Finding term a₅
Finding term a₆
So, the five arithmetic means between 14 and 86 are 26,38,50,62,74