Sequence and Series
Arithmetic Sequence is a sequence of numbers such that the difference between the consecutive terms is constant
True or False
True
32a=3-a
a=0
Rewrite the equation in logarithmic form
8b=a
Log8a=b
An inquisitive math student is standing 25 feet from the base of the Washington Monument. The angle of elevation from her horizontal line of sight is 87.4∘. If her “eye height” is 5ft, how tall is the monument?
What is 550.54
Prove the identity
sinx * sec * cot x = 1
Sin x * 1/ cos * cos / sinx
cancel sin x and cos
Equals to 1
Find the pattern:
81,27,9,3
What is divide by 3
42x+3=1
x=-2/3
Log4x=64
x=3
A 25 foot tall flagpole casts a 42 foot shadow. What is the angle that the sun hits the flagpole?
What is x=59.2o
sinx cscx +tanx cotx
2
Find the missing term:
8,_,16,_,24,28,32
What is 12 and 20
3x-2 = 6x
x= -2/3
Simplify
5log517
17
Elise is standing on top of a 50 foot building and sees her friend, Molly. If Molly is 30 feet away from the base of the building, what is the angle of depression from Elise to Molly? Elise’s eye height is 4.5 feet.
What is x= 61.2o
cos0 * csc0 * (sec20 - 1) =
Tan0
Find the 7th partial sum of the sequence:
an = -9+3(n-1)
a1= -9
d= 3
What is 9
4-2x*4x=64
-3
Log3(9x+2)
4
Mark is flying a kite and realizes that 300 feet of string are out. The angle of the string with the ground is 42.5∘. How high is Mark's kite above the ground?
What is x= 202.7
sin20 + cos20 + tan20
sec20
Find the 10 th term of a geometric sequence if a 1 = 45 and the common ration r = 0.2.
Use the equation: An=a1 x rn-1
What is 2.304 x 10-5
53x-2=1252x
-2/3
Write as a single logarithm:
2log7 - 3log2
What is log(49\8)
Mark is flying a kite and realizes that 300 feet of string are out. The angle of the string with the ground is 42.5∘. How high is Mark's kite above the ground?
What is x= 69.5
2- 2sin2x
2cos2x