in the aithmetic sequence -7,-4,-1,2,... what term is 44?

Sagot :

We first need to compute for the common difference, and it is 3 since:
[tex]a_2-a_1=a_3-a_2=a_4-a_3=...=a_n-a_{n-1} \\ -4-(-7)=-1-(-4)=2-(-1)=3[/tex]

[tex]n= \frac{a_n-a_1}{d} +1= \frac{44-(-7)}{3} +1= 18[/tex]

Therefore 44 is the 18th term.