Find Geometric Pattern 3

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Find Missing Numbers: Learn

In previous lessons you worked with arithmetic sequences. How to find a missing number in an arithmetic sequence:

  • Determine if the order of numbers is ascending (getting larger in value) or descending (becoming smaller in value).
  • Find the difference between numbers that are next to each other.
  • Use the difference between numbers to find the missing number.

In these lessons we focus on the geometric sequence. How to find a missing number in a geometric sequence:

  • Determine if the order of numbers is ascending (getting larger in value) or descending (becoming smaller in value).
  • Find the quotient between numbers that are next to each other.
  • Use the quotient as a divisor or factor to find the missing number.

Example: Find the missing number: 128, 32, ?, 2

  • The order of numbers is descending (going down).
  • The quotient between numbers is 128 ÷ 32 = 4
  • Since the order is descending divide 32 by 4. The missing number may be 8.
  • The missing number is 8 since dividing by 4 results in the last number 2.

Find Pattern: Practice

Note: Look carefully at the sequence's direction.

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