Sequences and Series Precalculus

What is the sum of the first ten terms of the sequence 4, -12, 36, -108 . . . ?

• 59,050

• -59,048

• -78,732

• 118,096

Find the 25th term of the sequence if a₁ = 5 and d = 0.5

• 18

• 17

• 15

• 14

What kind of sequence is illustrated below?
 400, 200, 100, 50, 25, ...

• Arithmetic

• Geometric

• Neither

Which kind of sequence has a common difference?

• Arithmetic

• Geometric

What is the 8th term in the sequence below?
3, 9, 27, 81, ...

• 19,683

• 6,561

• 2,187

• 729

• Converges to 0

• Converges to 1

• Converges to 3

• Diverges

• Converges to 0

• Converges to 1

• Converges to 5

• Diverges

Find the sum of the first 10 terms for the series: -1 + 2 + 5 + 8 + ...

• 122

• 125

• 128

• 131

Which term is 12,288 in the sequence given by: 3, 6, 12, 24, ...

• 11

• 12

• 13

• 14

Find the explicit rule for an arithmetic sequence if the 6th term is -38 and the 14th term is -110

• a_n=7-9(n-1)

• a_n=-9+7(n-1)

• a_n=-83+9(n-1)

• a_n=9-83(n-1)