Question

Find the 64th term 2,−3,−8

Answer 1

-313 is the 64th term

Explanation:

you take the second term an minus the first term with the second one {2-(-3)}

{=5} then you take two an minus five

it gives you -3 then you press minus five again it gives you negative eight then you press (equals to)until you reach the term you looking for

Answer 2

`2~~,~~\stackrel{2-5}{-3}~~,~~\stackrel{-3-5}{-8}~~,~~...~\hspace{10em}\stackrel{common~difference}{d = -5} \\\\[-0.35em] ~\dotfill\\\\ n^(th)\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^(th)\ term\\ n=\stackrel{\textit{term position}}{64}\\ a_1=\stackrel{\textit{first term}}{2}\\ d=\stackrel{\textit{common difference}}{-5} \end{cases} \\\\\\ a_(64)=2+(64-1)(-5)\implies a_(64)=2+(-315)\implies a_(64)=-313`