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GyanAI is a free AI-powered study assistant for Indian students in Class 6-12. It covers all 18 CBSE subjects including Math, Physics, Chemistry, Biology, History, Geography, English, Economics, Accountancy and more. Students get instant step-by-step homework help, board exam preparation tips, and competitive exam coaching for JEE and NEET.

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Yes, GyanAI offers a free tier where students can ask questions and receive AI-powered explanations every day. Premium plans starting at ₹99/month unlock higher daily question limits and advanced features like personalized study plans, priority responses, and detailed performance analytics.

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GyanAI covers all 18 CBSE subjects: Mathematics, Physics, Chemistry, Biology, English, Hindi, History, Geography, Political Science, Economics, Accountancy, Business Studies, Computer Science, Physical Education, Psychology, Sociology, Fine Arts, and more. It supports Class 6 through Class 12 across Science, Commerce, and Humanities streams.

Can GyanAI help with JEE and NEET preparation?

Yes, GyanAI is designed for both CBSE board exam preparation and competitive exams like JEE Main, JEE Advanced, and NEET UG. It provides topic-wise practice questions, formula sheets, concept explanations, and step-by-step solutions for Physics, Chemistry, Mathematics, and Biology at the competitive exam level.

How does GyanAI's AI tutoring work?

GyanAI uses advanced AI (powered by Google Gemini) to understand student questions and generate detailed, curriculum-aligned explanations. Students can type any question, upload a problem image, or choose from common textbook problems. The AI provides step-by-step solutions, explains underlying concepts, and suggests follow-up topics to strengthen understanding.

Does GyanAI support Hindi medium CBSE students?

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What is the formula for sum of n terms of an AP?

The sum of the first n terms of an AP is: Sₙ = n/2 × [2a + (n−1)d], where a = first term, d = common difference, n = number of terms. If the last term (l) is known, use: Sₙ = n/2 × [a + l].

How to find the nth term of an AP?

The nth term (general term) of an AP is: aₙ = a + (n−1)d, where a = first term, d = common difference, n = term position. Also, the nth term can be found from sums: aₙ = Sₙ − Sₙ₋₁.

What is the sum of first n natural numbers?

The sum of first n natural numbers (1 + 2 + 3 + ... + n) is n(n+1)/2. This is a special case of the AP sum formula with a = 1, d = 1. For example, sum of first 100 natural numbers = 100 × 101 / 2 = 5050.

Sum of AP Formula

Arithmetic Progressions • Class 10 Mathematics • NCERT • CBSE

The sum of the first n terms of an Arithmetic Progression is: Sn = n/2 × [2a + (n−1)d], where a is the first term and d is the common difference. Alternatively, if the last term l is known: Sn = n/2 × [a + l].

Key Formulas

aₙ = a + (n−1)d (nth term of AP)
Sₙ = n/2 × [2a + (n−1)d] (Sum of n terms)
Sₙ = n/2 × [a + l] (Sum when last term l is known)
aₙ = Sₙ − Sₙ₋₁ (nth term from sums)
Sum of first n natural numbers = n(n+1)/2

Frequently Asked Questions

What is the formula for sum of n terms of an AP?: The sum of the first n terms of an AP is: Sₙ = n/2 × [2a + (n−1)d], where a = first term, d = common difference, n = number of terms. If the last term (l) is known, use: Sₙ = n/2 × [a + l].
How to find the nth term of an AP?: The nth term (general term) of an AP is: aₙ = a + (n−1)d, where a = first term, d = common difference, n = term position. Also, the nth term can be found from sums: aₙ = Sₙ − Sₙ₋₁.
What is the sum of first n natural numbers?: The sum of first n natural numbers (1 + 2 + 3 + ... + n) is n(n+1)/2. This is a special case of the AP sum formula with a = 1, d = 1. For example, sum of first 100 natural numbers = 100 × 101 / 2 = 5050.

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