Answer:
n^2 = n + 30
n^2 -n -30 = 0
Solving by quadratic formula
numbers equal 6 AND -5
DOUBLE -CHECK
6^2 -6 -30 = 0
36 -6 - 30 = 0 CORRECT
-5^2 - -5 -30 = 0
25 +5 -30 = 0 CORRECT
Two numbers 6 and -5
Step-by-step explanation:
N=1→an=a1 (first term)=16 (on the graph for n=1)→First term = 16
n=2→an=a2 (second term) = 4 (on the graph for n=2)→Second term = 4
ratio=(Second term)/(First term)=a2/a1=4/16
Simplifying the fraction dividing the numerator (4) by 4 and the denominator (16) by 4:
ratio=(4/4)/(16/4)→ratio=1/4
Answer: Option A. First term = 16, ratio = 1/4
The circumference of the wheel can be expressed by:

Where r = the radius of the wheel.
Since the spoke reaches from the center of the wheel to its rim then r = length of the spoke
By rearranging the circumference equation we get:

If circumference = 42 inches then:

r = 6.68
Which is closest to B
Your book may have a typo in it as the answer to 4 decimal places is 6.6845 which rounds down to 6.68, not up to 6.69.