Infinite Sequences and Series

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.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.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

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.HSF.BF.A.2

What is the third term of this geometric sequence?

• 28

• -28

• 56

• -56

Tags

CCSS.HSF.BF.A.2

What is the sum of this series?

• 75/4

• 100

• 25/4

• ∞ (the series diverges)

For n = 1,2,3 . . .the explicit formula,
 a_n = (-3)ⁿ  + 4, will produce the sequence:

• {1, 13, -23, 85. . .}
• {1, -5, -23, -77. . .}
• {1, -2, -5, -8...}
• {1, 10,-5, 85. . .}

Tags

CCSS.HSF.BF.A.2

The n^th term of a geometric sequence is given by ...

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• 
• 
• 

Tags

CCSS.HSF.BF.A.2

The sum of an infinite Geometric series is given by:

• 
• 
• 
• 

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSA.SSE.A.1

CCSS.HSF.LE.A.2