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: 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 ?
Mathematics
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Factor completely.36k2 - 121m2
A. (36k + m)(k - 121m) B. (6k + 11m)2 C. (6k + 11m)(6k - 11m) D. (6k - 11m)2
Mathematics
Determine if the series converges or diverges. If the series converges, find its sum.
A. converges; 
B. converges; 
C. converges; 1
D. converges; 3
Mathematics
Given that f(x) = sin x, g(x) = cos x, and h(x) = tan x, evaluate the given function. The point (x, 
), on the circle 
, also lies on the terminal side of an angle ? in quadrant II. The point 
, on the circle 
, also lies on the terminal side of an angle ? in quadrant III.f(2?)
A. 
B. - 
C. 
D. - 
Mathematics
Use the numeric integration feature on your calculator to find the integral.
A. 0.88623 B. 0.05048 C. 0.00248 D. 0.00415
Mathematics