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Learn how to find the nth term and the sum of n terms of an arithmetic progression (AP) in this simple and clear explanation. Perfect for Class 10 Math students preparing for their board exams. We'll cover the formulas, step-by-step examples, and important concepts to help you score full marks in this topic. Watch now to boost your confidence in Arithmetic Progressions. Arithmetic Progression (AP) is a sequence of numbers where the difference between consecutive terms remains constant. This difference is called the common difference (d). An AP can be expressed as: 𝑎,𝑎+𝑑,𝑎+2𝑑,…, where 𝑎 is the first term. Key formulas include the nth term (𝑎𝑛 = 𝑎+(𝑛−1)𝑑) and the sum of the first n terms (𝑆𝑛 =𝑛/2[2𝑎 + (𝑛−1)𝑑]. The nth term of an Arithmetic Progression (AP) is calculated using the formula: an = a + (n - 1)d, where a is the first term, d is the common difference, and n is the term number. The sum of the first n terms of an AP is given by: Sn = (n/2)[2a + (n - 1)d] or Sn = (n/2)(a + l), where l is the last term. These formulas help in solving problems involving sequences, such as finding specific terms, their sums, or patterns in numerical data. APs have applications in various fields like physics, finance, and statistics. 📝🔗Don't miss the opportunity to win up to 100% Scholarship through "Score" | India’s Largest Scholarship Exam " For Registrations Visit Here: https://infinitylearn.com/score?utm_s... FAQs: What is the AP basic formula? What is AP and GP? What is the concept of AP? What is infinite AP? Related Searches: Arithmetic progression formula Sum of arithmetic progression formula Arithmetic progression questions and Answers PDF Arithmetic progression examples with solutions Arithmetic progression Notes Arithmetic progression Class 10 formulas PDF Arithmetic Progression Class 10 PDF What is n in arithmetic progression ✅ Subscribe to our channel 👉 / @infinitylearn_910 ✅ Download Infinity Learn App to create your own TEST 👉 https://bit.ly/48dTWKp ✅ Foundation Course - JEE/NEET Form 👉 https://forms.gle/9aahzwqwJUijzzFP9 ✅ Infinity Learn 9&10 brings learning to life through its captivating educational videos.To Know More, visit👉 https://bit.ly/3uIuzQP 👥 Important Playlist for Class 9 & Class 10 Students: ✅Class 10th Strategy: • CBSE Class 10th Preparation | Class 1... ✅Class 9th Strategy: • CBSE Class 9th Preparation | Class 9 ... ✅Strategy after Class 10th Boards: • Strategy after Class 10th Boards | Cl... ✅Class 10th Board Analysis: • CBSE Class 10th Board Exam Analysis |... ✅Class 10th Complete Maths Preparation: • CBSE Class 10th Complete Maths | Clas... ✅Class 10th Sample Paper: • Class 10th Board Sample Paper & Most ... ✅Class 10th Complete Syllabus Marathon: • CBSE Class 10th Board Preparation | C... ✅Class 10th Board PYQs: • CBSE Class 10th Board PYQs | Class 10... 👥 Follow Infinity Learn 9&10 on Social Media👥 ✅ Please Join Our Telegram Channel👉 https://t.me/InfinityLearn9_10 ✅ Download our APP 👉 https://bit.ly/48dTWKp ✅ Register on our website to gain access to all videos and quizzes👉 https://bit.ly/3uIuzQP ✅ Join us on Facebook👉 / infinitylearn.srichaitanya ✅ Follow us on Instagram 👉 / infinitylearn_by_srichaitanya ✅ Follow us on Twitter👉 / infinitylearn_ #arithmeticprogression #nthtermformula #sumofnterms #formulasforap #class10thboard #class10thboardpreparation #class10thsyllabus #class10thmaths #class10thphysics #class10thchemistry #class10thbiology #class10board #class10thboard2025