7 7 skills practice geometric sequences as exponential functions 2026

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  1. Click ‘Get Form’ to open it in the editor.
  2. Begin by entering your name, date, and period in the designated fields at the top of the form. This personalizes your document and helps keep track of submissions.
  3. For each sequence listed, determine if it is arithmetic, geometric, or neither. Use the provided space to explain your reasoning clearly.
  4. In the sections where you need to find the next three terms of each geometric sequence, write your answers directly in the blank spaces provided.
  5. When asked to write an equation for the nth term of a given geometric sequence, ensure you format your equations correctly and provide any necessary calculations in the space available.
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2:21 3:48 And thats the sequence. I get X goes 1 2 3 4 Y starts at six and goes up or gets multiplied byMoreAnd thats the sequence. I get X goes 1 2 3 4 Y starts at six and goes up or gets multiplied by threes uh from term to term. Okay heres another.
Arithmetic and geometric sequences are analogous to linear and exponential functions, shifted 1 unit to the right. Arithmetic sequences grow according to a common difference, also known as the slope, which is the amount added to advance from one term to the next.
What is the rule for the geometric sequence? Each term of a geometric sequence is formed by multiplying the previous term by a constant number r, starting from the first term a1. Therefore, the rule for the terms of a geometric sequence is an=a1(r)^(n-1).

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The common pattern in an arithmetic sequence is that the same number is added or subtracted to each number to produce the next number. The common pattern in a geometric sequence is that the same number is multiplied or divided to each number to produce the next number.

7 7 practice geometric sequences as exponential functions answer key page 44