Repeated Operations Math Example 1

Follow the full solution, then compare it with the other examples linked below.

Example 1

easy
Start at 3 and add 4 repeatedly. Write the first 5 results.

Solution

  1. 1
    Start: 3.
  2. 2
    After 1st addition: \(3 + 4 = 7\).
  3. 3
    After 2nd: \(7 + 4 = 11\).
  4. 4
    After 3rd: \(11 + 4 = 15\).
  5. 5
    After 4th: \(15 + 4 = 19\).

Answer

3, 7, 11, 15, 19
Repeated addition of a constant creates an arithmetic sequence. Each term is 4 more than the previous.

About Repeated Operations

Applying the same operation multiple times in succession, where the repetition is often compressed into a higher-level operation: repeated addition becomes multiplication (n⋅an \cdot a), and repeated multiplication becomes exponentiation (ana^n).

Learn more about Repeated Operations →

More Repeated Operations Examples

Example 2 medium

Start with 2 and repeatedly double it. What are the first 5 values? What operation are you applying

Example 3 easy

Start at 50 and subtract 7 repeatedly. Write the first 4 results.

Example 4 medium

Start with 1 and multiply by 3 repeatedly. What is the 5th value in the sequence?

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