The First Five Numbers in a Regular Sequence are 4, 10, 22, 46, and 94 GMAT Problem Solving

Question: The first five numbers in a regular sequence are 4, 10, 22, 46, and 94. What is the next number in the sequence?

1. 142
2. 154
3. 176
4. 182
5. 190

Correct Answer: E

Approach Solution (1):

When we see the sequence 4, 10, 22, 46, ad 94. We see that each succeeding number is some value more than twice the previous number:

10 = 2 * 4 + 2

22 = 2 * 10 + 2

And so on

So, next number = 2 * 94 + 2 = 190

Approach Solution (2):

We noticed the following pattern:

10 = 4 + x … x = 6

22 = 10 + x … x = 12

46 = 22 + x … x = 24

94 = 46 + x … x = 48

We observed that X is doubled each time

So, 48 * 2 + 94 = 190

“The first five numbers in a regular sequence are 4, 10, 22, 46, and 94. What is the next number in the sequence?”- is a topic of the GMAT Quantitative reasoning section of GMAT. This question has been taken from the book “GMAT Official Guide Quantitative Review”. To solve GMAT Problem Solving questions a student must have knowledge about a good amount of qualitative skills.

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