Determine whether the sequence converges or diverges. if it converges, give the limit.

7, 14, 28, 56,

converges; 49

converges; 105

diverges

converges; 217

Hunter designs two flags for his adventure club. what is the length of the base, x, of the larger flag? enter your answer, as a decimal, in the box.

After applying the composition r0.90 ry to rs what are the coordinates of r' and s'? a.r'(–3, 1),  s'(–3, 5)b.r'(–1, 3),  s'(–5, 3)c.r'(1, 3),  s'(5, 3)d.r'(5, 3),  s'(1, 3)

The graph shows the distance y, in inches, a pendulum moves to the right (positive displacement) and to the left (negative displacement), for a given number of seconds x. how many seconds are required for the pendulum to move from its resting position and return? enter your answer in the box.