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In a sequence of numbers, if the first number is 5 and each subsequent number is

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Question: In a sequence of numbers, if the first number is 5 and each subsequent number is double the previous one, what is the fifth number in the sequence?

Options:

  1. 20
  2. 40
  3. 80
  4. 160

Correct Answer: 160

Solution:

The sequence is 5, 10, 20, 40, 80, so the fifth number is 80.

In a sequence of numbers, if the first number is 5 and each subsequent number is

Practice Questions

Q1
In a sequence of numbers, if the first number is 5 and each subsequent number is double the previous one, what is the fifth number in the sequence?
  1. 20
  2. 40
  3. 80
  4. 160

Questions & Step-by-Step Solutions

In a sequence of numbers, if the first number is 5 and each subsequent number is double the previous one, what is the fifth number in the sequence?
  • Step 1: Start with the first number, which is 5.
  • Step 2: To find the second number, double the first number: 5 * 2 = 10.
  • Step 3: To find the third number, double the second number: 10 * 2 = 20.
  • Step 4: To find the fourth number, double the third number: 20 * 2 = 40.
  • Step 5: To find the fifth number, double the fourth number: 40 * 2 = 80.
  • Geometric Sequence – The question tests understanding of geometric sequences where each term is a constant multiple of the previous term.
  • Exponential Growth – The problem illustrates exponential growth, as each term doubles the previous one.
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