Arithmetic
Define Arithmetic Sequence?
An arithmetic sequence has a common difference which is added to each term to get the next one.
Define geometric sequence.
A geometric sequence has a common ratio which each term is multiplied by to get the next one.
What are the three SOHCAHTOA ratios?
sinθ=hypotenuse/opposite
cosθ=adjacent/hypotenuse
tanθ=adjacent/opposite
How do you convert between degrees and radians?
Multiply by phi/180 to go from degrees to radians, and by 180/phi to go the other way.
What has a face and two hands but no arms or legs?
A clock
True or False?
An arithmetic sequence must increase.
A negative common difference makes the sequence decrease, term by term.
How do you find the common ratio from two consecutive terms?
Divide a term by the one immediately before it
Complete Pythagoras' theorem for a right-angled triangle with hypotenuse c:
c2= ____ +_____
c2=a2+b2
What is the approximate value of 1 radian in degrees?
57.3
I’m an odd number. Take away one letter and I become even. What number am I?
Seven → remove “s” → even.
What is the sum of the first terms of an arithmetic series?
Sn= n/2 (2a+(n-1)d
When does a geometric series converge?
When, so the terms creep closer and closer to zero.
True or False?
The hypotenuse is the side opposite the angle you are working with.
False.
The hypotenuse is fixed by the right angle, not by whichever angle you happen to be using.
How many degrees are equal to 2π radians?
360
The more you take, the more you leave behind. What am I?
Footsteps.
Given the fourth and ninth terms of an arithmetic series, how do you find and ?
Put each into the th term formula to get two simultaneous equations.
True or False:
A divergent geometric series has a finite sum to infinity.
False.
A divergent geometric series does not have a finite sum to infinity.
What is the difference between sin−1x and 1\sinx?
means inverse sine and calculation of sine
What is the formula for the length of an arc when the angle is measured in radians?
s=rθ
I have no beginning and no end. What shape am I?
A Circle
What is the difference between a sequence(n-term) and a series?
The terms are exactly the same in both; a series is what you get when those terms are added together.
A geometric sequence has first term aa and common ratio r. The 3rd term is 12 and the 6th term is 96. Find the common ratio rr.
What is 2?
State which trigonometric ratios are positive in each of the four quadrants.
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I am an angle measured using the radius of a circle rather than degrees. Who am I?
Radian
I am a number. Multiply me by myself and you get me again. What number am I?
0 or 1