A statement Sn about the positive integers is given. Write statements Sk and Sk+1, simplifying Sk+1 completely.Sn: 1 ? 2 + 2 ? 3 + 3 ? 4 + . . . + n(n + 1) = 
What will be an ideal response?
Sk: 1 ? 2 + 2 ? 3 + 3 ? 4 + . . . + k(k + 1) = 
Sk+1: 1 ? 2 + 2 ? 3 + 3 ? 4 + . . . + (k + 1)(k + 2) = 
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Solve the problem.Julio has found that his new car gets 36 miles per gallon on the highway and 31 miles per gallon in the city. He recently drove 314 miles on 9 gallons of gasoline. How many miles did he drive on the highway? How many miles did he drive in the city?
A. 252 miles on the highway, 62 miles in the city B. 238 miles on the highway, 76 miles in the city C. 231 miles on the highway, 83 miles in the city D. 217 miles on the highway, 97 miles in the city
Solve the system by the elimination method.6x - 9y = 230x - 45y = 8
A. {(5, 4)}
B. ?
C. {(2, 8)}
D. 
Express the sum or difference as a product of sines and/or cosines.sin 
+ sin 
A. 2 cos(9?) sin ?
B. 2 sin 
sin ?
C. 2 sin(9?)
D. 2 sin 
cos ?
Find the indicated derivative of the function.
of y = 5x6 + 3x4 + 5x2 - 6
A. 1800x2 + 72 B. 3600x C. 3600 D. 0