Free Practice Question
PS · Problem Solving
sub-505
Sequences
In the sequence 480, 240, 120, 60, each term is half of the previous term. What is the smallest term in the sequence that exceeds 1?
Answer Choices
Correct answer marked belowA
64/15
B
32/15
15/8
Correct
D
15/4
E
15/2
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Explanation
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Official Explanation
Official
The sequence starts with 480, 240, 120, 60, and continues as follows: 60/2, 60/4, 60/8, 60/16, etc. We find that 60/32 = 15/8, which is greater than 1, while 60/64 = 15/16 is less than 1. Therefore, the smallest term greater than 1 is 60/32 = 15/8. However, if we need…
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Comments
2
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R
RosanneDec 28, 2024
still struggling with these types of problems
M
MeghnaAug 21, 2024
Great
What this question tests
What it tests
Your ability to spot and extend arithmetic and geometric sequences and work with recursive definitions.
Common trap
Off-by-one errors in indexing (a₀ vs a₁) or confusing an arithmetic difference with a geometric ratio.
Details
Difficulty
sub-505
Type
PS
Category