Math Problem Statement

100, 20 , 4 , _ , _ , _ ,

Solution

The sequence you provided appears to follow a pattern, but let's determine it step by step:

Given terms: 100, 20, 4, _ , _ , _

Looking at the first three terms:

  • From 100 to 20, the number is divided by 5 (100 ÷ 5 = 20).
  • From 20 to 4, the number is again divided by 5 (20 ÷ 5 = 4).

If the pattern continues by dividing by 5:

  • The next term would be 4÷5=0.84 \div 5 = 0.8.
  • Then, 0.8÷5=0.160.8 \div 5 = 0.16.
  • Lastly, 0.16÷5=0.0320.16 \div 5 = 0.032.

Thus, the next three terms in the sequence are: 0.8, 0.16, 0.032

Would you like more details on the solution or have any questions?

Here are 5 related questions:

  1. What is the general formula for this sequence?
  2. How do geometric sequences differ from arithmetic sequences?
  3. What are common methods for identifying patterns in number sequences?
  4. How can we apply division patterns in real-life scenarios?
  5. What are the properties of sequences involving constant division?

Tip: Sequences that involve constant multiplication or division are often called geometric sequences.

Ask a new question for Free

By Image

Drop file here or Click Here to upload

Math Problem Analysis

Mathematical Concepts

Geometric Sequence
Division Pattern

Formulas

Next term in geometric sequence: a_n = a_(n-1) ÷ r, where r is the common ratio

Theorems

Geometric Sequence Theorem: A sequence where each term is found by multiplying the previous one by a constant factor

Suitable Grade Level

Grades 6-8