Question

which of the numbers below could be terms in the sequence an=4n-7
A)29
B)21
C)20
D)28

Answer 1

\(\large\tt \begin{align} \color{black}{a_n=4n-7\\~\\
\color{red}{option~~A.)}29=4n-7\\~\\
4n=36\\~\\
n=9\\~\\
\text{as this is integer it can be a possible term}\\~\\
\color{red}{option~~B.)}21=4n-7\\~\\
4n=28\\~\\
n=7\\~\\
\text{as this is integer it can be a possible term}\\~\\
\color{red}{option~~C.)}20=4n-7\\~\\
4n=27\\~\\

n=\dfrac{27}{4}\\~\\
\text{as this is not integer it cant be a possible term}\\~\\
\color{red}{option~~D.)}28=4n-7\\~\\
4n=35\\~\\
n=\dfrac{35}{4}\\~\\
\text{as this is not integer it cant be a possible term}\\~\\}\end{align}\)

Answer 2

so A & B is the answer

Answer 3

\(\Huge\tt \bf \begin{align} \color{black}{\checkmark}\end{align}\)

Answer 4

thank you!