In which sequence is each term obtained by adding the same fixed number to the immediately preceding term?
Answer and explanation
Correct answer: Arithmetic progression
In an arithmetic progression, the difference between consecutive terms remains constant: \(a_{n+1}-a_n=d\). Hence, every new term is formed by adding the same fixed number \(d\) to the preceding term. A geometric progression has a constant ratio rather than a constant difference. Exam tip: subtract consecutive terms; if the difference is constant, it is an AP.
Frequently asked questions
What is the correct answer to this question?
Arithmetic progression
Why is this the correct answer?
In an arithmetic progression, the difference between consecutive terms remains constant: \(a_{n+1}-a_n=d\). Hence, every new term is formed by adding the same fixed number \(d\) to the preceding term. A geometric progression has a constant ratio rather than a constant difference. Exam tip: subtract consecutive terms; if the difference is constant, it is an AP.
Which subject and chapter does this question cover?
This is a Class 9 Mathematics question. Chapter: Sequences and Progressions. Topic: nth term.
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