Muft Shiksha
Update

Muft Shiksha™ एक 100% Free Education Portal है 🇮🇳, जिसका उद्देश्य Class 9–12 के हर विद्यार्थी तक High-Quality Education को पूरी तरह मुफ्त पहुँचाना है। 🇮🇳 हम मानते हैं कि अच्छी शिक्षा किसी student की आर्थिक स्थिति पर निर्भर नहीं होनी चाहिए। 🇮🇳 हर विद्यार्थी को वही Quality Study Material, MCQs, Quizzes, Exam Preparation, Concept-Based Learning और Bilingual Support मिलना चाहिए, जो आमतौर पर महंगी Coaching या Premium Platforms में मिलता है। Muft Shiksha™ 🇮🇳 इसी सोच के साथ बनाया गया है

Subjects
Class 10MathematicsArithmetic Progressions (AP)Finding the $n$th term of an APExpertLevel 64

Which of the following sequences has an nth term that represents an arithmetic progression?

Advertisement

Answer and explanation

Correct answer: \(a_n=5n-3\)

For \(a_n=5n-3\), \(a_{n+1}-a_n=5\), which is constant for every \(n\); hence it is an AP. For \(n^2+1\), the difference is \(2n+1\), which changes. Exam tip: test consecutive-term differences.

Tags

arithmetic progressionnth termcommon differencesequence identificationclass 10 mathematics

Frequently asked questions

What is the correct answer to this question?

\(a_n=5n-3\)

Why is this the correct answer?

For \(a_n=5n-3\), \(a_{n+1}-a_n=5\), which is constant for every \(n\); hence it is an AP. For \(n^2+1\), the difference is \(2n+1\), which changes. Exam tip: test consecutive-term differences.

Which subject and chapter does this question cover?

This is a Class 10 Mathematics question. Chapter: Arithmetic Progressions (AP). Topic: Finding the $n$th term of an AP.

Report question
Advertisement