Write the statements S1, S2, and S3 and determine if each statement is true.Sn: 1 ? 2 + 2 ? 3 + 3 ? 4 + . . . + n(n + 1) = 
What will be an ideal response?
| S1: | 1 ? 2   |
2 = 2 ?
S2: 1 ? 2 + 2 ? 3
8
8 = 8 ?
S3: 1 ? 2 + 2 ? 3 + 3 ? 4
20
20 = 20 ?
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Solve the problem.A spring on a horizontal surface can be stretched and held 0.5 m from its equilibrium position with a force of 40 N. How much work is done in stretching the spring 2 m from its equilibrium position?
A. 40 J B. 160 J C. 80 J D. 320 J
Provide an appropriate response. Find the equation of the line that is normal to the line x + 5y = 7 and passes through the point (2, 4). Write the equation in standard form.
A. y = - 
x + 
B. y = 5x - 6
C. y = -x + 6
D. y = -5x + 14
Identify the number as real, complex, pure imaginary, or nonreal complex. More than one of these descriptions may apply.8 + 6i
A. complex, pure imaginary B. real, complex C. none of these D. complex, nonreal complex
Solve the problem.The amount of water used to take a shower is directly proportional to the amount of time that the shower is in use. A shower lasting 17 minutes requires 11.9 gallons of water. Find the amount of water used in a shower lasting 9 minutes.
A. 6.3 gal B. 5.6 gal C. 7 gal D. 153 gal