Find the explicit formula for the arithmetic sequence −25,−50,−100,−200

Step 1) Make a table

The x values represents the number of each number in the sequence and the y values represent the numbers in the sequence.

so

x ⇒ y

0 ⇒ -25

1 ⇒ -50

2 ⇒ -100

3 ⇒ -200

Step 2) find the pattern

The pattern is that each number in the sequence is calculated by multiplying the number before it by 2.  We know the pattern in relation to to y but we need to find the pattern in relation to x.

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step-by-step explanation: