Question 19 of 25 Which choice is the explicit formula for the following geometric sequence?
0.5, -0.1, 0.02, -0.004, 0.0008,
OA. a, = -0.5(0.3) (n-1)
O B. an = 0.5(-0.2)(-1)
OC. an = -0.5(0.2)(n- 1)
O D. a,= -0.5(-0.2) (^- 1)
OE. a, = 0.5(0.2)"

c. side angle side. u shares the same sides

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west

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