Work out the next three numbers in the sequence. The rule is 'add 0.1 to the number before'. 2.7, 2.8, ___, ___, ___

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Understand the Problem

The question asks to calculate the next three numbers in a sequence where the rule is to add 0.1 to the previous number. The sequence begins with 2.7 and 2.8.

Answer

The next three numbers are $2.9$, $3.0$, and $3.1$.
Answer for screen readers

The next three numbers in the sequence are 2.9, 3.0, and 3.1.

Steps to Solve

  1. Identify the pattern The sequence starts with 2.7 and 2.8. The rule states to add 0.1 to the previous number.

  2. Calculate the next number To find the next number after 2.8, we add 0.1: $$ 2.8 + 0.1 = 2.9 $$

  3. Calculate the following number Using the last number (2.9), we again add 0.1: $$ 2.9 + 0.1 = 3.0 $$

  4. Calculate the final number Lastly, we add 0.1 to find the final number in this sequence: $$ 3.0 + 0.1 = 3.1 $$

The next three numbers in the sequence are 2.9, 3.0, and 3.1.

More Information

This sequence is an example of an arithmetic progression, where each term increases by a constant value (in this case, 0.1). Such sequences are common in various mathematical contexts.

Tips

  • Forgetting to add the correct value: Ensure that you always add 0.1 specifically, not a different value.
  • Skipping numbers: Make sure to calculate each step in order without skipping any calculations.

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