brandon enters a contest at the gym. he earns 1 point for his first workout. if he works out the next day…

brandon enters a contest at the gym. he earns 1 point for his first workout. if he works out the next day, he earns double the points of the previous day. brandon creates the graph to show the number of points that can be earned on the nth consecutive day of working out. how many points will brandon earn on day 8 if he works out each of the previous 7 days? 8 32 64 128

brandon enters a contest at the gym. he earns 1 point for his first workout. if he works out the next day, he earns double the points of the previous day. brandon creates the graph to show the number of points that can be earned on the nth consecutive day of working out. how many points will brandon earn on day 8 if he works out each of the previous 7 days? 8 32 64 128

Answer

Explanation:

Step1: Identify the sequence type

This is a geometric - sequence with first term $a_1 = 1$ and common ratio $r = 2$. The general formula for the $n$th term of a geometric sequence is $a_n=a_1r^{n - 1}$.

Step2: Substitute values

We want to find the number of points on day 8, so $n = 8$, $a_1=1$, and $r = 2$. Substitute into the formula: $a_8=1\times2^{8 - 1}$.

Step3: Calculate the result

$a_8=2^{7}=128$.

Answer:

128