Sequences & Series

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

• 11

• 12

• 13

• 14

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

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)

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Does this sequence converge or diverge?  $\left\{\frac{10n-6}{2n-3}\right\}$  

• Converges to 0

• Converges to 2

• Converges to 5

• Diverges

Tags

CCSS.HSA.APR.D.7

Does this sequence converge or diverge?  $\frac{1}{3},1,3,9,...$  

• Converges to 0

• Converges to 1

• Converges to 3

• Diverges

Tags

CCSS.HSF.IF.A.3

Does this sequence converge or diverge?  $\frac{1}{4},\frac{1}{9},\frac{1}{16},\frac{1}{25},...$  

• Converges to 0

• Converges to 1

• Converges to 5

• Diverges

A geometric sum has g₂=18 and g₅=486. Find the sum of the first 9 terms.

• 1,536

• 59,046

• 177,156

• None of these

Tags

CCSS.HSA.SSE.B.4

CCSS.HSF.BF.A.2

Which of the following expresses 1+3+5+...+39

• $\sum_{k=1}^{20}2k-1$

• $\sum_{k=2}^{40}k-1$

• $\sum_{k=-1}^{37}k+2$

• $\sum_{k=1}^{39}2k-1$

Tags

CCSS.HSA.SSE.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

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

• 122

• 125

• 128

• 131

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

An arithmetic sequence has a₁₅=160 and a common difference of -15. Find a₄₀.

• 535

• 370

• -170

• -215

Tags

CCSS.HSF.BF.A.2

A geometric series is as follows: 40 + 36 + 32.4 + ...

Find the sum of this series.

• 300

• 400

• 500

• 600

Tags

CCSS.HSA.SSE.B.4