If the pattern is 3, 6, 11, 18, what is the next number?

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Question: If the pattern is 3, 6, 11, 18, what is the next number?

Options:

Correct Answer: 26

Solution:

The differences between the numbers are 3, 5, 7, which increases by 2 each time. The next difference is 9, so 18 + 9 = 27.

If the pattern is 3, 6, 11, 18, what is the next number?

If the pattern is 3, 6, 11, 18, what is the next number?

Step 1: Look at the given numbers: 3, 6, 11, 18.
Step 2: Find the difference between the first two numbers: 6 - 3 = 3.
Step 3: Find the difference between the second and third numbers: 11 - 6 = 5.
Step 4: Find the difference between the third and fourth numbers: 18 - 11 = 7.
Step 5: Write down the differences you found: 3, 5, 7.
Step 6: Notice that the differences are increasing: 3 to 5 is an increase of 2, and 5 to 7 is also an increase of 2.
Step 7: Predict the next difference by adding 2 to the last difference: 7 + 2 = 9.
Step 8: Add this next difference to the last number in the original sequence: 18 + 9 = 27.
Step 9: Conclude that the next number in the pattern is 27.

Arithmetic Sequences – Understanding how to identify and extend patterns in sequences of numbers based on differences.
Difference Patterns – Recognizing that the differences between consecutive terms can form their own sequence, which can help in predicting the next term.