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A sequence of numbers is given: 2, 4, 8, 16. What is the next number in the sequ

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Question: A sequence of numbers is given: 2, 4, 8, 16. What is the next number in the sequence?

Options:

  1. 20
  2. 24
  3. 32
  4. 36

Correct Answer: 32

Solution: 

The sequence is a geometric progression where each number is multiplied by 2. Therefore, 16 * 2 = 32.

A sequence of numbers is given: 2, 4, 8, 16. What is the next number in the sequ

Practice Questions

Q1
A sequence of numbers is given: 2, 4, 8, 16. What is the next number in the sequence?
  1. 20
  2. 24
  3. 32
  4. 36

Questions & Step-by-Step Solutions

A sequence of numbers is given: 2, 4, 8, 16. What is the next number in the sequence?
  • Step 1: Look at the given numbers in the sequence: 2, 4, 8, 16.
  • Step 2: Identify how the numbers change from one to the next.
  • Step 3: Notice that 4 is 2 times 2 (2 * 2 = 4).
  • Step 4: Notice that 8 is 2 times 4 (4 * 2 = 8).
  • Step 5: Notice that 16 is 2 times 8 (8 * 2 = 16).
  • Step 6: Realize that each number is multiplied by 2 to get the next number.
  • Step 7: To find the next number, multiply the last number (16) by 2.
  • Step 8: Calculate 16 * 2, which equals 32.
  • Step 9: Therefore, the next number in the sequence is 32.
  • Geometric Progression – A sequence where each term after the first is found by multiplying the previous term by a fixed, non-zero number.
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