For
and
to be inversely proportional, there must be some constant
such that
Given that
when
, it follows that
Then when
, we have
Domain is the first set of numbers or x
52, 72, 86 and 105
the y coordinates are the range
To determine the nth term, we must create a function.
f(n) = 1st term + common difference (n - 1)
n = term you are looking for
1st term = 1st number in the sequence
common difference = the difference between two consecutive numbers in the sequence.
based on the above sequence, the 1st term is 2, its common difference is 3.
f(n) = 2 + 3(n-1)
Assuming we are looking for the 5th term
f(5) = 2 + 3(5-1)
= 2 + 3(4)
= 2 + 12
f(5) = 14 as you can see in the above sequence 14 is the 5th term.
For any other value of the nth term, simply substitute n by the number of the term and solve the equation.
Hopes this help:
Answer: x = 3, -2 & y = 5, 0
Hopes this is the answer that you where looking for if not I am so sorry.
