Properties of Geometric Sequences

Submitted by vladimir.arzt on Sat, 10/19/2024 - 10:59

SubArea:

Project ID:

7500000092

Question:

Find the matching triples consisting of the formula for the sequence, its properties, and the graph of the sequence with its first few terms.

Header 1:

Sequence

Header 2:

The Sequence Properties

Header 3:

Graph of the Sequence with First Few Terms

Text 11:

{(2^{n})}_{n = 1}^{\infty}

Text 21:

increasing, bounded below, not bounded above

Image 31:

Text 12:

{({(\frac{4}{5})}^{n})}_{n = 1}^{\infty}

Text 22:

decreasing, bounded

Image 32:

Text 13:

{(- 4 {(\frac{1}{2})}^{n})}_{n = 1}^{\infty}

Text 23:

increasing, bounded

Image 33:

Text 14:

{(- 2 {(\frac{3}{2})}^{n})}_{n = 1}^{\infty}

Text 24:

decreasing, bounded above, not bounded below

Image 34:

Text 15:

{({(- \frac{5}{4})}^{n})}_{n = 1}^{\infty}

Text 25:

not monotonic, not bounded above or below

Image 35:

Text 16:

{({(- \frac{3}{4})}^{n})}_{n = 1}^{\infty}

Text 26:

not monotonic, bounded

Image 36:

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