Regents Exam: Algebra I August 2016 (Problem 10 of 37)

The video tutorial explains how to determine the function that defines a given sequence, where F(6) equals -26. It first demonstrates a systematic approach by evaluating functions at X=6 to find the correct one. The tutorial then analyzes the sequence, noting its consistent decrease by -4, indicating a linear sequence with a slope of -4. The correct function is identified as the one with this slope.

What is the main goal of the problem introduced in the first section?

• To calculate the common difference of the sequence.

• To find the value of X in the sequence.

• To identify the slope of the sequence.

• To determine which function defines the sequence.

What method is used in the second section to find the correct function?

• Using a graph to plot the sequence.

• Evaluating each function at X equals 6.

• Calculating the average of the sequence.

• Guessing the function based on intuition.

How many attempts were needed to find the correct function using the systematic approach?

• Four attempts

• Three attempts

• Two attempts

• One attempt

What is the common difference of the sequence discussed in the third section?

• -5

• -2

• -3

• -4

What form does the sequence take according to the third section?

• Linear form

• Exponential form

• Quadratic form

• Logarithmic form