In the series 2, 5, 10, 17, what is the pattern in the differences between conse

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Question: In the series 2, 5, 10, 17, what is the pattern in the differences between consecutive terms? (2023)

Options:

Correct Answer: Increasing by 3

Exam Year: 2023

Solution:

The differences are 3, 5, 7, which are increasing by 2 each time.

In the series 2, 5, 10, 17, what is the pattern in the differences between consecutive terms? (2023)

In the series 2, 5, 10, 17, what is the pattern in the differences between consecutive terms? (2023)

Step 1: Write down the series: 2, 5, 10, 17.
Step 2: Find the difference between the first two terms: 5 - 2 = 3.
Step 3: Find the difference between the second and third terms: 10 - 5 = 5.
Step 4: Find the difference between the third and fourth terms: 17 - 10 = 7.
Step 5: List the differences you found: 3, 5, 7.
Step 6: Look at the differences: 3, 5, 7. Notice how they change.
Step 7: See that the difference between 3 and 5 is 2, and the difference between 5 and 7 is also 2.
Step 8: Conclude that the differences are increasing by 2 each time.

Arithmetic Sequences – Understanding how to find differences between consecutive terms in a sequence.
Pattern Recognition – Identifying patterns in numerical sequences, particularly in the differences of terms.