Copy and complete each sequence below. Using words, not numbers, describe how the patterns work. (for example, write, “Double the previous number.”) a. 1,3,6,10, __ , __
b. 1, 1/2, 1/4, 1/8, __ , __
c.1, 3, 9, 27, __ , __
d. 8, 7, 5, 2, 15, 21, __ , __
e. 49, 47, 52, 50, 55, __ ,__

A. Add one more than was added to the previous number.
b. Divide by 2 each time.
c. Multiply by 3 each time.
d. Beginning is subtract one more than previously subtracted but the last two(15,,21) don’t fit the pattern.

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12