Logarithms

Arithmetic sequences/series

Geometric sequences/series

Limits

Combinations

100

Rewrite log(x^{3} ⋅ y^{7} ⋅ z^{4})

log x^{3}^{ }+ log y^{7} + log z^{4}

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->∞ (4n^{2}-n-5)/(n^{2}-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->∞ (5n^{2}+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 3^{4}/8^{4}

300

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

566

300

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

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

300

Evaluate the limit lim x->7 (x^{2}+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 a_{1}=12 d=-2 n= 23

-34

400

Find the 12th term a_{n}=4^{n-1}

4194304

400

Evaluate the limit lim x->1 -(x^{2}-1)/(x-1)

-2

400

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

5040

500

Solve for x log_{9} (x+6) - log_{9} x = log_{9} 2

6

500

Find a_{47} a_{n}= 731-43n

-1290

500

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

a_{n}= 5 ⋅ 3^{n-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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