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
[tex]a_n=a_1+d\cdot(n-1)[/tex]we have
d=7
a1=-4
substitute the given values
[tex]\begin{gathered} a_n=-4_{}+7\cdot(n-1) \\ a_n=-4+7n-7 \\ a_n=7n-11 \end{gathered}[/tex]this equation is the sequence pattern
