Question

fill in the missing numbers to complete the pattern:
3.60, , 3.70, , 3.80, 3.85
submit

Explanation:

Step1: Analyze the pattern between 3.70 and 3.80, 3.80 and 3.85

First, look at the last two numbers: from 3.80 to 3.85, the increase is \(3.85 - 3.80= 0.05\). Now check the gap between 3.60 and 3.70. The difference is \(3.70 - 3.60 = 0.10\), which is two intervals of 0.05. So the pattern is adding 0.05 each time? Wait, no, wait. Wait, 3.60 to the next number, then to 3.70. Let's see: 3.60 to 3.70 is 0.10, so if there's one number in between, then the step between 3.60 and the first blank is 0.05, then from first blank to 3.70 is 0.05. Let's check: \(3.60 + 0.05 = 3.65\), then \(3.65 + 0.05 = 3.70\), which matches. Then from 3.70 to the next blank: \(3.70 + 0.05 = 3.75\), then \(3.75 + 0.05 = 3.80\), then \(3.80 + 0.05 = 3.85\), which also matches. So the pattern is adding 0.05 each time.

Step2: Find the first missing number

Starting from 3.60, add 0.05: \(3.60 + 0.05 = 3.65\)

Step3: Find the second missing number

Starting from 3.70, add 0.05: \(3.70 + 0.05 = 3.75\)

Answer:

First blank: 3.65, Second blank: 3.75