Identify whether the series summation of 12 open parentheses 3 over 5 close parentheses to the i minus 1 power from 1 to infinit
y is a convergent or divergent geometric series and find the sum, if possible. (2 points) This is a convergent geometric series. The sum cannot be found. This is a convergent geometric series. The sum is 30. This is a divergent geometric series. The sum cannot be found. This is a divergent geometric series. The sum is 30.
This is a convergent geometric series. The sum is 30.
Step-by-step explanation:
In your series, the ratio of terms is 3/5, a value whose magnitude is less than 1. That means the series is convergent. The sum is given by the formula ...
S = a1/(1 -r)
where a1 is the first term (12) and r is the common ratio (3/5). This gives ...
She buys 2 boxes each week for a year (there is 52 weeks in a year) = 2 x 52 = 104 boxes per year if each box contains 8 granola bars...and she buys 104 boxes, then she buys: 104 * 8 = 832 granola bars
