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Question

1,2,4,8,16,\cdots
Sequence
  • Determine whether the sequence is arithmetic

  • Determine whether the sequence is geometric

  • Find the common ratio

  • Write the next four terms

  • Write an explicit formula

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\text{Not an arithmetic sequence}
Evaluate
1,2,4,8,16,\cdots
Solution
\text{Not an arithmetic sequence}
\text{Geometric sequence}
Evaluate
1,2,4,8,16,\cdots
Solution
\text{Geometric sequence}
r=2
Evaluate
1,2,4,8,16,\cdots
Solution
r=2
32,64,128,256
Evaluate
1,2,4,8,16,\cdots
Solution
32,64,128,256
a_{n}=2^{n-1}
Evaluate
1,2,4,8,16,\cdots
Solution
a_{n}=2^{n-1}
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