Question

What is the sequence pattern for -4,3,10,17,24?

Answer 1

What is the sequence pattern for -4,3,10,17,24?

we have

a1=-4

a2=3

a3=10

a4=17

a5=24

so

a2-a1=3-(-4)=7

a3-a2=10-3=7

a4-a3=17-10=7

a5-a4=24-17=7

that means

It's an arithmetic sequence and the common difference is d=7

the general equation is equal to

`a_n=a_1+d\cdot(n-1)`

we have

d=7

a1=-4

substitute the given values

`\begin{gathered} a_n=-4_{}+7\cdot(n-1) \\ a_n=-4+7n-7 \\ a_n=7n-11 \end{gathered}`

this equation is the sequence pattern