The frostburg-truth bus travels on a straight road from frostburg mall to sojourner truth park. the mall is 5 miles west and 3 miles south of the city center. the park is 4 miles east and 4 miles north of the center. how far is it from the mall to the park to the nearest tenth of a mile? 5.7 miles 5.8 miles 1.4 miles 11.4 miles

D. 11.4 miles.

Step-by-step explanation:

Distance between the Center and the Mall = √(5^2 + 3^2) = √34.

Distance between The Park and the Center = √(4^2 + 4^2) = √32.

So the Distance between The Mall and the Park is √34 + √32

=  11.4 miles (answer).

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for