Review Sequences and Series

What is the explicit form of the following equation?
a_n = 4a_n-1 ; a₁ = 5

• 4 (5)^n-1

• 5 (4)^n-1

• 5 + 4n

• 4 + 5n

The third term of a geometric sequence is 96 and the fifth term is 1536.  What is the sum of the first ten terms of the sequence?

• 4,092

• 1,572,864

• 2,097,150

• 33,554,400

Find the sum 
24+48+72+...+480

• 5280

• 9576

• 10080

• 5040

What is the twelfth term in the sequence 3, -6, 12, . . . ?

• -2,048

• 6,144

• -6,144

• -531,441

Find the sum of the infinite geometric series, if it exists:
200 - 100 + 50 - 25 +

• Does not exist

• 400/ 3

• 3 / 400

Estimate the total sum.

• 0.3333

• 0.5

• infinity

Which sequence(s) represent an arithmetic sequence?

• a and e

• a, b, and e

• b, c, and d

• b

Using this explicit rule a_{n =} 2n+5 find the first four terms in the sequence.

• 7, 9, 11, 13

• 5, 7, 9, 11

• 7, 5, 3, 1

• 5, 3, 1, −1

Find the common ratio for the geometric sequence.

• 2

• -2

• 1/2

• -1/2

Find the common ratio: 4, -16, 64, -256, ...

• r = -4

• r = 2

• r = -2

• r = 4