Seq&Series
Factorial
Permutations?
Binomial
100

Determine the formula for the nth term of the of the geometric sequence. 

192,-48,12,-3,... 

What is tn=192(-1/4)n-1

100

Miss Anne has eleven kids in her class. She has a bowl containing eleven apples. Now Miss Anne want to divide the eleven apples to the kids, in such a way that a apple should remain in her bowl. How can Miss Anne do it?

Ten kids will get each one apple. The eleventh kid will get the apple with the bowl.

100

One rabbit saw 6 elephants while going towards River. Every elephant saw 2 monkeys are going towards river. Every monkey holds one tortoise in their hands.

How many animals are going towards the river?

5

100

`By expanding `(1+2x)^12` in ascending powers of `x` up to and including `x^3`, calculate an approximate value of `1.02^12

1.26816, x=0.01

200

It's About Time in Langley, British Columbia is Canada's largest custom clock manufacturer. They have a grandfather clock that, on hours, chimes the number of hours that corresponds to the time of day. How many times does the clock chime in 24 hrs?

156 times

200
Evaluate 0!
1
200
Suppose the first, second, and third place winners are supposed to be selected from 17 contestants. In how many ways can these spots be chosen?
17 P 3 OR 17!/14! OR 17 x 16 x 15
200

If a giraffe has two eyes, a monkey has two eyes, and an elephant has two eyes, how many eyes do we have?

18 (assuming everyone's here...)

300

Suppose the colour of jeans fades by 5% each time they are washed. How many washings would it take so that only 25% of the original colour remains in the jeans?

27 washes

300

They come out at night without being called and are lost in the day without being stolen. What are they?

Stars

300
In how many ways can you arrange the letters in the word "COMBINATION"?
11!/(2!2!2!)
300

`The coefficient of `x^3` in the expansion of `(2+x)(3-ax)^4` is 30. Find three possible values of the constant `a.

1, (1+-sqrt(105))/8

400

A woman was murdered in her office.

The suspects are Ericson, Maggi, Jason, Benny, Sona, Patrick.

A calendar found near the woman has blood written 6, 4, 9, 10, 11.

Who is the killer?

Jason

400
Which is larger? 50!/(47!3!) or 100!/99!
50!/ (47!3!) = (50 x 49 x 48)/(3 x 2 x 1) = 50 x 49 x 16 100!/99! = 100 The first is larger
400

8 people entered a lounge simultaneously. If each person shook hands with the other then find the total no. of hand shakes ?

28

400

(3x^2+4x-5)/((x+3)(x-2)) = A + B/(x+3)+C/(x-2). `Find the values of the constants `A, B` and `C.

A=3, B=-2` and `C=3

500

The length of an initial swing of a pendulum is 90cm. Each successive swing is 0.7 times the length of the previous swing. If the process continues forever, how far will the pendulum swing?

300 cm

500
What is n!/(n-1)! ?
n
500
Write a word for which there are 60 unique permutations of the letters.
The word should have 5 letters with one repeated letter
500

`The first 3 terms in the binomial expansion of `1/sqrt(a+bx)` are `3+1/3x+1/18x^2+... `Find the values of `a` and `b.

a=1/9, b=-2/81

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