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In a sequence where each term is double the previous term, starting from 1, what

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Question: In a sequence where each term is double the previous term, starting from 1, what is the 6th term? (2023)

Options:

  1. 32
  2. 64
  3. 128
  4. 256

Correct Answer: 128

Exam Year: 2023

Solution: 

The sequence is 1, 2, 4, 8, 16, 32, 64. The 6th term is 64.

In a sequence where each term is double the previous term, starting from 1, what

Practice Questions

Q1
In a sequence where each term is double the previous term, starting from 1, what is the 6th term? (2023)
  1. 32
  2. 64
  3. 128
  4. 256

Questions & Step-by-Step Solutions

In a sequence where each term is double the previous term, starting from 1, what is the 6th term? (2023)
  • Step 1: Start with the first term of the sequence, which is 1.
  • Step 2: To find the second term, double the first term: 1 * 2 = 2.
  • Step 3: To find the third term, double the second term: 2 * 2 = 4.
  • Step 4: To find the fourth term, double the third term: 4 * 2 = 8.
  • Step 5: To find the fifth term, double the fourth term: 8 * 2 = 16.
  • Step 6: To find the sixth term, double the fifth term: 16 * 2 = 32.
  • Geometric Sequence – A sequence where each term is multiplied by a constant factor (in this case, 2) to get the next term.
  • Exponential Growth – Understanding how values grow exponentially based on a constant multiplier.
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