A statement Sn about the positive integers is given. Write statements S1, S2, and S3, and show that each of these statements is true.Sn: 3 + 8 + 13 + . . . + (5n - 2) = 
What will be an ideal response?
| S1: | 3   |
3 = 3 ?
S2: 3 + 8
11
11 = 11 ?
S3: 3 + 8 + 13
24
24 = 24 ?
Mathematics
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Solve the problem by integration.Find the volume generated by revolving the first-quadrant area bounded by 
and x = 5 about the y-axis.
A. 
? ln 12,600
B. 6? ln 
C. 3? ln 12,600
D. 3? ln 
Mathematics
Estimate the value of the quantity.The table shows the velocity of a remote controlled race car moving along a dirt path for 8 seconds. Estimate the distance traveled by the car using 8 subintervals of length 1 with right-end point values.
A. 166 in. B. 170 in. C. 160 in. D. 176 in.
Mathematics
Use a graph to find an approximate solution to the equation. Round to the nearest thousandth.2x = 25
A. 0.215 B. 12.500 C. 4.644 D. 2.526
Mathematics
Find the mode for each data set.$97, $44, $32, $44, $29, $97
A. No mode B. $97 C. $44 D. $97 and $44
Mathematics