Loran is a long range hyperbolic navigation system. suppose two loran transmitters are located at the coordinates (-100,0) and (100,0) , where unit distance on the coordinate plane is measured in miles a receiver is located somewhere in the first quadrant. the receiver computes that the difference in the distances from the receiver to these transmitters is 180 miles. what is the standard form of the hyperbola that the receiver sits on if the transmitters behave as foci of the hyperbola?

answer: median

step-by-step explanation:

the median is the middle value when a data set is ordered from least to greatest

, 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