7, 12, 22, 42, 82 Which of the following gives a rule for finding each term in the sequence after the first?
Correct answer: C. Double the preceding term and then subtract 2 from the result.
- A. Add 5 to the preceding number.
- B. Add 5 to the sum of all of the preceding terms.
- C. Double the preceding term and then subtract 2 from the result.
- D. Add 14 to the preceding term and divide that result by 2
Explanation
The correct rule to find the next term in the sequence is to double the preceding term and then subtract 2 from the result (Option C). This is verified as follows: Doubling 7 gives 14, and subtracting 2 gives 12, the next term. Continuing this process accurately predicts the sequence: 12 to 22, 22 to 42, and so on.Option A is incorrect because adding 5 works only for the first step, but fails subsequently. Option B is incorrect because adding 5 to the sum of all preceding terms does not produce the next term. Option D is incorrect because adding 14 and dividing by 2 gives results not consistent with the sequence.
Report an error
The more specific you are, the faster it gets fixed. A source beats an opinion.
Prefer email? support@testustad.com
About Quantitative Reasoning
Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.
Practise Quantitative Reasoning
625 free Quantitative Reasoning MCQs from Analytical and Logical Reasoning, each with the correct answer and an explanation. Unlimited attempts, no account needed.
Discussion
Stuck on an option, or know a faster way to get there? Ask or explain it here.
No comments yet. Be the first to explain this one.
Exams that ask Analytical and Logical Reasoning questions like this
Analytical and Logical Reasoning is on 27 papers prepared for on TestUstad, and all of them draw the same bank, so this question is worth knowing for every one of them.
More Quantitative Reasoning questions
What is the diameter of a circle whose area is 16π?
By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for what percent of the weight of the resulting solution?
Of the companies surveyed about the skills they required in prospective employees, 20 percent required both computer skills and writing skills. What percent of the companies surveyed required neither computer skills nor writing skills?(1) Of those companies surveyed that required computer skills, half required writing skills.(2) 45 percent of the companies surveyed required writing skills but not computer skills.
Which of the following could be the x-intercept and y-intercept of a line that is perpendicular to the line 3x + 6y = 0 ?
If f(x) = -x + 7 and g(x) = 2x + 1, what is the value of g(f(2)) ?
The cost of two dozen apples is $3.60. At this rate, what is the cost of 10 apples?