Question

question clarence plans on studying for 26 minutes today and will increase the time that he spends studying daily by 10 minutes. how many minutes will clarence spend studying in total after 9 days? provide your answer below:

Explanation:

Step1: Identify the arithmetic - sequence formula

The sum of an arithmetic sequence is $S_n=\frac{n}{2}(2a+(n - 1)d)$, where $n$ is the number of terms, $a$ is the first - term, and $d$ is the common difference.

Step2: Determine the values of $n$, $a$, and $d$

Here, $n = 9$ (number of days), $a=26$ (first - day study time in minutes), and $d = 10$ (increase in study time per day).

Step3: Substitute the values into the formula

$S_9=\frac{9}{2}(2\times26+(9 - 1)\times10)$.
First, calculate the value inside the parentheses: $2\times26+(9 - 1)\times10=52 + 80=132$.
Then, calculate $S_9=\frac{9}{2}\times132$.
$\frac{9}{2}\times132=9\times66 = 594$.

Answer:

594