Question

$4,9,14,19,24,...$
In the list above, the first term is $4$ and each term thereafter is $5$ more than the previous term. Calculate the difference between the ${5790}^{th}$ term and the ${5795}^{th}$ term.

• A. $5$
• B. $15$
• C. $20$
• D. $25$
• E. $30$

Answer 1

The correct option is D $25$

The sequence in this problem is called an arithmetic sequence because each term is the same amount more than the previous term. So, whatever number the ${5790}^{th}$ term is, the ${5791}^{st}$ term is $5$ bigger, the ${5792}^{nd}$ term is another $5$ bigger (making it $10$ more than the ${5790}^{th}$ term), and so forth, making the ${5795}^{th}$ term $25$ more than the ${5790}^{th}$ term.