Question

6. Ramilo is the track and field representative of the Maginoo High School for the Palarong Pambansa. He begins training by running 5 miles during the first week, 6.5 miles during the second week, and 8 miles on the third week. Assume this pattern continues, how far will he run on the fourth week? A9 miles B. 9.5 miles C. 10.5 miles D. 11 miles

Answer 1

Answer:

$log_{7}(9.5) \tan(a9) |7|$

Option is A 9 miles

Answer 2

Given: The distance run during the first week = 5 miles

           The distance run during the second week = 6.5 miles

           The distance run during the third week = 8 miles

To find: The distance Ramilo will run on the fourth week

Solution: First, we need to check the difference between the distance covered by Ramilo every consecutive week.

The distance run during the second week - the distance run during the first week = (6.5 - 5) miles = 1.5 miles.

The distance run during the third week - the distance run during the second week = (8 - 6.5) miles = 1.5 miles.

As such, we see that Ramilo is maintaining an arithmetic progression since the difference is equal in both cases.

An arithmetic progression or arithmetic sequence is a sequence of numbers such that the difference between the consecutive terms is constant.

Hence, the distance run during the fourth week = (8 + 1.5) miles = 9.5 miles.

Answer: Option B. 9.5 miles