Question

fill in the missing numbers to complete the pattern: 0.64, □, □, 2.14, 2.64, 3.14

Explanation:

Step1: Identify the pattern

Calculate the difference between consecutive given terms: $2.64 - 2.14 = 0.5$, $3.14 - 2.64 = 0.5$. The common difference is $0.5$.

Step2: Find first missing term

Add the common difference to the first given term: $0.64 + 0.5 = 1.14$

Step3: Find second missing term

Add the common difference to the first missing term: $1.14 + 0.5 = 1.64$

Step4: Verify the sequence

Check that $1.64 + 0.5 = 2.14$, which matches the given term.

Answer:

1.14, 1.64