Terms of Sequence
Sequence Rule
Summation
Probability
Counting
100

The 6th term of the sequence 1,4,7,10

What is 16

100

Write the rule for the sequence 5,7,9,11

an = 2n + 3

100

The sum from n = 1 to 4 of n

What is 10

100

A letter is chosen from the word EXTRATERRESTRIAL.  Find the probability that the letter T is chosen.

What is 3/16

100

Eight horses are entered in a race.  How many different orders are possible for completing the race?

What is 40320

200

The seventh term in the sequence 5,-25, 125, -625

What is 78,125

200

Write the rule for 1, 1/4, 1/9, 1/16

an = 1/n2

200

The sum from k = 1 to 3 of 1/k

What is 1 5/6 or 11/6

200

A coin is tossed twice.  What is the probability both coins show heads?

What is 1/4

200

A company's employee ID number system consists of one letter followed by 3 digits.  How many different ID numbers are possible with this system?

What is 26,000

300

The sixth term of the sequence -1/3, 1/9, -1/27, 1/81

What is 1/729

300

Write the rule for -2, 3, 8, 13

What is a(n) = 5x - 7

300

The sum from k = 1 to 5 of 2k-1

What is 31

300

A ball is drawn randomly from a jar that contains five red balls, two white balls, and 1 yellow ball.  Find the probability that neither a white nor a yellow ball is drawn.

What is 5/8

300

In how many different ways can six of ten people be seated in a row of 6 chairs?

What is 151,200

400

The fifth term of the sequence 1.0, 1.1, 1.21, 1.331

What is 1.4641

400

Write the rule for 2, 5, 10, 17

What is a= n+ 1

400

The sum from k = 1 to 5 of k2

What is 55

400

A monkey is trained to arrange wooden blocks in a straight line.  He is given six blocks showing the letters A,E,H,L,M,T.  What is the probability the he will arrange them to spell the word HAMLET

What is 1/720 = .0014

400

How many different five-card hands can be dealt from a deck of 52 cards?

What is 2,598,960

500

The sixth term of the sequence 3, 3/2, 0, -3/2

What is -4.5

500

What is the rule for 3, 3, 3, 3

What is a= 3

500

The sum from k = 3 to 7 of k(3+k)

What is 210

500

A card is drawn from a standard 52-card deck and replaced, and a second card is drawn.  What is the probability that the first card is an ace and the second card is a spade?

What is 1/52

500

Twelve dots are drawn on a page in such a way the no three dots are collinear.  How many straight lines can be formed by joining the dots?

What is 66

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