Question

write an explicit formula for the sequence 7,2,-3,-8,-13,... Then find a^14

Answer 1

note that, your sequence is an arithmetic progression, whose first term is 7, and constant c=-5, so generic term a_n, is given by the subsequent formula:
\[a _{n}=a _{1}+(n-1)*c=7+(n-1)*(-5)=\]
\[=7-5n+5=12-5n\]

so, please, substitute n=14, and you will get your answer

Answer 2

ok i got 98

Answer 3

no, sorry:
\[a _{14}=12-5*14=...\]

Answer 4

\[a _{14}=-58\]
@bandnerd24

Answer 5

oh
well thanks for the help

Answer 6

thanks!