Question 1185764
<br>
The sum of the lengths of the supports is<br>
3+7+11+...+559+563+559+...+11+7+3<br>
= 2(3+7+11+...+559)+563<br>
Find the sum of the arithmetic sequence in parentheses using
sum = number of terms times average of all the terms, or
sum = number of terms times average of first and last terms.<br>
The number of terms is (last minus first) divided by common difference, plus 1.<br>
(559-3)/4+1 = 139+1 = 140<br>
The average of the first and last terms is (3+559)/2 = 281.<br>
The sum of the lengths of the supports is then<br>
2(140*281)+563<br>
Use a calculator to get<br>
ANSWER: 79,243 feet<br>