Question

the common difference of an ap is 4 find a 15- A12

Answer 1

Answer:

a₁₅ - a₁₂ =12

Step-by-step explanation:

In the question, we have been asked to find a₁₅ - a₁₂  if the common difference of given  Arithmetic Progression is 4.

The formula to find any term of an AP is:

aₙ = a + (n - 1)d

Where a is the first term of the AP, d is the common difference and n is the term which you want to find.

So, putting values;

a₁₅= a+ (15-1)d;

a₁₅= a+ 14d  

a₁₂= a+ (12-1)d;

a₁₅= a+ 11d  

a₁₅ - a₁₂ = a+ 14d - (a+ 11d )

a₁₅ - a₁₂ = a+ 14d - a- 11d

a₁₅ - a₁₂ = 3d

Putting value of d,

a₁₅ - a₁₂ = 3(4)

a₁₅ - a₁₂ =12