Logarithms
Arithmetic sequences/series
Geometric sequences/series
Limits
Combinations
100

Rewrite log(x3 ⋅ y7 ⋅ z4)

log x3 + log y7 + log z4

100

With the sequence 1, 6, 11, 17 find the common difference

5

100

Find the ratio 1, 8, 64, 512

Multiply 8

100

What does the limit converge to   lim x->∞  (4n2-n-5)/(n2-4n+12)

4

100

From a deck of cards, how many ways can 4 cards be drawn?

270725

200

Simplify log 2 + log 15 + log 24

log 720

200

Find the missing term in the sequence 1, 100, ___, 298

199

200

Is this term geometric 2, 4, 6, 8

No

200

Does this limit converge or diverge  lim x->∞  (5n2+6n+5)/(n+2)

diverge

200

How many baseball teams of 9 players can be made from 23 without positions mattering?

817190

300

Rewrite 4log 3 - 4log 8

log 34/84

300

Evaluate the series 10, 26, 42, 58, 74, 90, 106, 122, 138

566

300

What are the first 7 terms given the formula an= 3 ⋅ 2n-1

3, 6, 12, 24, 48, 96, 192

300

Evaluate the limit  lim x->7 (x2+3x-10)/(x+5)

5

300

How many ways can you introduce the starting 11 on a soccer team where positions matter?

39916800

400

Solve for x    log 5x = log (2x+9)

3

400

Evaluate the series a1=12 d=-2 n= 23

-34

400

Find the 12th term an=4n-1

4194304

400

Evaluate the limit  lim x->1  -(x2-1)/(x-1)

-2

400

How many ways can you arrange the letters in the word baseball?

5040

500

Solve for x  log9 (x+6) - log9 x = log9 2

6

500
Find a47 an= 731-43n

-1290

500

What is the formula given this sequence 5, 15, 45, 135, 405

an= 5 ⋅ 3n-1

500

Evaluate the limit  lim x->5 (x-5)/((x+4)1/2-3)

6

500

If a company is hiring 6 people. If 45 apply how many different groups of 6 can they hire?

8145060

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