Question

What is the constant in the algebraic expression to represent the patter below??

15,11,7,3,-1,...

Answer 1

The constant in the algebraic expression to represent the pattern below is 4.

Explanation:

Imortant Tip:

• An Arithmetic sequence has a constant difference 'd' which can be determined by computing the differences of all the adjacent terms

Given the pattern

`15,11,7,3,-1,...`

computing the differences of all the adjacent terms

`11-15=-4,\:\quad \:7-11=-4,\:\quad \:3-7=-4,\:\quad \:-1-3=-4`

The difference between all the adjacent terms of the pattern is the same which is

`d=-4`

Hence, the given pattern represents the Arithmetic sequence.

Therefore, the constant in the algebraic expression to represent the pattern below is 4.