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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 8th term? (2023)

Options:

  1. 128
  2. 64
  3. 256
  4. 512

Correct Answer: 128

Exam Year: 2023

Solution: 

The sequence is 1, 2, 4, 8, 16, 32, 64, 128. The 8th term is 128.

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 8th term? (2023)
  1. 128
  2. 64
  3. 256
  4. 512

Questions & Step-by-Step Solutions

In a sequence where each term is double the previous term, starting from 1, what is the 8th term? (2023)
  • Step 1: Start with the first term of the sequence, which is 1.
  • Step 2: To find the next term, double the previous term. So, 1 doubled is 2.
  • Step 3: Now, take the last term (2) and double it again. 2 doubled is 4.
  • Step 4: Take the last term (4) and double it. 4 doubled is 8.
  • Step 5: Take the last term (8) and double it. 8 doubled is 16.
  • Step 6: Take the last term (16) and double it. 16 doubled is 32.
  • Step 7: Take the last term (32) and double it. 32 doubled is 64.
  • Step 8: Take the last term (64) and double it. 64 doubled is 128.
  • Step 9: The 8th term in the sequence is 128.
  • 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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