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
SubjectsMathematics
अनुक्रम
In this Class 9 Mathematics topic from Sequences and Progressions, students learn how numbers or objects are arranged in a definite order and how to identify the rule connecting successive terms. They practise finding missing terms, writing a sequence from a given pattern, and expressing its general term when the relationship is clear. The topic develops pattern recognition, logical reasoning, and accuracy, while preparing students to understand progressions and solve sequence-based problems in later mathematics.
TOPIC PRACTICE
Up to 3 questions from this page. Select your focus, then start.
Given \(a_n=n^2+3^n\), \(a_4=4^2+3^4=16+81=97\) and \(a_5=5^2+3^5=25+243=268\). Hence, \(a_4+a_5=97+268=365\). The value 375 can result from an error while evaluating the power or adding the terms. Exam tip: Substitute the value of \(n\) first, then calculate the square and exponent separately.
View question details(13^2+6\times13+5=252), so (13) is not correct. (12) also gives (221), so the target value is inconsistent.
View question detailsThe successive differences are 3, 6, 9, 12, and 15; each difference increases by 3. Therefore, the next difference is 18. Hence, the next term is \(47+18=65\). Choosing 62 would keep the difference at only 15, so it cannot be the next term. Exam tip: write the successive differences separately before extending a sequence.
View question detailsQUIZ COMPLETE
