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