Work out the next three numbers in the sequence. The rule is 'add 0.1 to the number before'. 2.7, 2.8, ___, ___, ___
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
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Identify the pattern The sequence starts with 2.7 and 2.8. The rule states to add 0.1 to the previous number.
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Calculate the next number To find the next number after 2.8, we add 0.1: $$ 2.8 + 0.1 = 2.9 $$
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Calculate the following number Using the last number (2.9), we again add 0.1: $$ 2.9 + 0.1 = 3.0 $$
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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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