Question

The $n^{th}$ term of a sequence is defined to be $4n+3$. The $50$th term is how much greater than the $45$th term?

• A. $5$
• B. $16$
• C. $20$
• D. $23$
• E. $24$

Answer 1

Answer: (C)

$20$

It is given that the $n^{th}$ term of a sequence is $4n+3$.

To find the ${50}^{th}$ term, substitute $n=50$ in $4n+3$ that is

${50}^{th}$ term=$4\left(50\right)+3=203$ and similarly,

${45}^{th}$ term=$4\left(45\right)+3=183$

The difference is $203-183=20$

Hence option $C$ is correct.