Math Jeopardy

Logarithms

100

Rewrite log(x³ ⋅ y⁷ ⋅ z⁴)

log x³ + log y⁷ + log z⁴

200

Simplify log 2 + log 15 + log 24

log 720

300

Rewrite 4log 3 - 4log 8

log 3⁴/8⁴

400

Solve for x    log 5x = log (2x+9)

3

500

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

6

Arithmetic sequences/series

100

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

5

200

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

199

300

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

566

400

Evaluate the series a₁=12 d=-2 n= 23

-34

500

Find a₄₇ a_n= 731-43n

-1290

Geometric sequences/series

100

Find the ratio 1, 8, 64, 512

Multiply 8

200

Is this term geometric 2, 4, 6, 8

No

300

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

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

400

Find the 12th term a_n=4^n-1

4194304

500

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

a_n= 5 ⋅ 3^n-1

Limits

100

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

4

200

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

diverge

300

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

5

400

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

-2

500

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

6

Combinations

100

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

270725

200

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

817190

300

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

39916800

400

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

5040

500

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

8145060