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# Help with some math questions please?

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1. The explicit rule for the geometric sequence is an = 7(−4)(n − 1)

What is the recursive rule for the sequence?

A. an = −7(an+1 ),  a1 = 4

B. an = −4(an−1 ),  a1 = 7

C. an = −4(an + 1 ),  a1 = 7

D. an = −7(an−1),  a1 = 4

2. Determine the quadrant the terminal side of an angle with measure of 7π/6?

3. Jacob is standing 112 m from a building. The angle of elevation from where he is standing on the ground to the top of the building is 62 degrees. How tall is the building?  Round to the nearest whole number.

4. What is the value of cos C?

A. 8/17

B. 17/8

C. 17/15

D. 15/8

May 17, 2018

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1. B is the correct answer.....the first term, a1, is  7

And an  =  -4*a n-1

2.   7pi / 6   converted to  degrees is

7pi / 6  *  180 / pi  =

[ 7pi ]  / [ 6 pi ] * 180  =

(7/6) * 180  =

7 ( 180 / 6 )  =

7 * 30  =

210°.....and this is a 3rd quadrant angle

3.  We can use the tangent here

tan 62  =  x  / 112   multiply both sides by  112

112 * tan 62  = x  ≈  210.6 ft  =  211 ft

4.  None of the answers are correct

cos C  = adjacent side  / hypotenuse  =  15  / 17

May 17, 2018