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

Answer:

A)29 and B) 21,

Step-by-step explanation:

First,in the sequence$a_n=4n-7$ , the parameter $n$ must to be a integer.

Second, we need to solve the equations by  $n$.

$n=(a_n+7)/4$

All the option in the problem represent an $a_n$

Then, we need to prove all number in the options, if the result is a integer number, this option can be part of the sequence.

For A)

$n=(29+7)/4=9$

For B)

$n=(21+7)/4=7$

For C)

$n=(20+7)/4=6.75$

For D)

$n=(28+7)/4=8.75$

Only A) and B)  only A and B meet the requirement