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Andre45 [30]
3 years ago
11

PLEASE HELP ME!!!!!

Mathematics
2 answers:
Nesterboy [21]3 years ago
8 0

When you subtract the y values you find that each increase in x decreases y by 4.

X is going from 4 to 82 which is 78 units.

78 x 4 = 312

Subtract 312 from the last y value:

209 - 312 = -103

The answer is -103

Lyrx [107]3 years ago
3 0

Answer:

When x = 82, y = -103

Step-by-step explanation:

So an arithmetic sequence is a sequence whose terms differ by a constant value. To find the value of the n^{th} term we need to form an equation for the sequence.

<h3>Equation to the sequence</h3>

First we need to find the difference between the values of the sequence. In this case the difference is -4:

217 - 221 = -4,  209 - 213 = -4

So the equation is:

n^{th} term = -4n + c

Now we need to find the c, so we substitute the n^{th} term and the term number and solve the equation:

221 = (-4 x 1) + c

221 = -4 + c

c = 225

So the final equation is:

n^{th} term = -4n +225

<h3>Finding the 82nd term</h3>

Now all we need to do is substitute into the equation and find the answer:

n^{th} term = (-4 x 82) + 225

n^{th} term = -328 +225

n^{th} term = -103

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