Answer:
Option (3)
Step-by-step explanation:
Explicit formula of the sequence is,
From this explicit formula,
First term of the sequence will be,
Second term of the sequence,
= 13
3rd term of the sequence,
= 31
Sequence formed,
7, 13, 31 ..........
From the given options,
Recursive formula,
= 13
= 39 - 8
= 31
Sequence formed from this recursive formula will be,
7, 13, 31........
Therefore, Option (3) will be the answer.
Answer: The required width of the park is 3 miles.
Step-by-step explanation: Given that a 5 mile jogging path diagonal divides a rectangular park in half and the park is 4 miles long.
We are to find the width of the park.
As shown in the attached figure below, the diagonal BD divides the rectangle ABCD into two equal parts,
where length DA = 5 miles, BD = 4 miles and AB = width = ?
Since each angle of a rectangle is right-angle, so triangle ABD will be a right-angled triangle.
Using Pythagoras theorem in triangle ABD, we have
Thus, the required width of the park is 3 miles.
