Question

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

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

Answer 1

Answer:

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

Step-by-step 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.