1. The first term of a sequence is 4 and the term-to-term rule is add 6. Write down the four terms of this sequence. 2. A sequence has the position-to-term rule: term = 3 x position number - 2. Write down the four terms of this sequence.

1) 4,10,16,22

2) 1, 4, 7, 10

1) 4, 10, 16, 22

2) 3x (subbing in -2 as first term, our 4 terms are): -2, -6, -9, -12

Step-by-step explanation:

x = central angle apc = measure of minor arc ac

the two angles x and 30 add to 180, so x+30 = 180 and x = 180-30 = 150. the measure of minor arc ac is 150 degrees.

what we need to do from here is find the circumference and then multiply it by x/360 since there are 360 degrees in a circle. in this case, x = 150, so x/360 = 150/360 = 15/36 = 5/12. the shortest distance along the curve from a to c is 5/12 of the distance around the entire circle (aka circumference)

c = circumference

c = pi*d

c = pi*24

c = 24pi

now multiply this by 5/12 to get

distance along minor arc ac = (5/12)*(circumference)

distance along minor arc ac = (5/12)*(24pi)

distance along minor arc ac = 10pi

the formula you can use is

l = (x/360)*pi*d

with

l = length of minor arc

x = central angle

d = diameter

which essentially is the steps we took though a bit differently.