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In the sequence (2,5,11,23,47,\ldots), each next term is double the previous term plus (1). What is the next term?

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Answer and explanation

Correct answer: 95

The rule is: next term = twice the previous term + 1. Therefore, the term after 47 is \(2\times47+1=94+1=95\). Option 94 is only twice 47; it misses the required addition of 1. Exam tip: apply the stated rule directly to the last given term to verify the answer.

Related tags

SequencesRecurrence RelationNumber PatternsClass 9 MathematicsProgressions

Frequently asked questions

What is the correct answer to this question?

95

Why is this the correct answer?

The rule is: next term = twice the previous term + 1. Therefore, the term after 47 is \(2\times47+1=94+1=95\). Option 94 is only twice 47; it misses the required addition of 1. Exam tip: apply the stated rule directly to the last given term to verify the answer.

Which subject and chapter does this question cover?

This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: Sequences.

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