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
In this Class 9 Mathematics topic from Sequences and Progressions, students explore sequences in which each term is obtained by multiplying the preceding term by a fixed number. They learn to identify the common ratio, distinguish a geometric progression from other patterns, write its terms, and use the general term to find a specific position in the sequence. Examples help connect the idea with repeated growth, decrease, and everyday numerical patterns.
TOPIC PRACTICE
Quiz this set
Up to 1 questions from this page. Select your focus, then start.
1 questions
Choose questions
Hard · Level 59 · geometric-progression,nth-term,common-ratio,powers,Geometric Progression,Sequences and Progressions,Mathematics,Class 9 MCQView options
31,250
15,625
62,500
125,000
Question 1HardLevel 59
What is the 7th term of the sequence 4, 20, 100, 500, …?
Correct answer: C
The governing concept is the general term of a geometric progression. Each term is obtained by multiplying the previous term by 5, so the first term is a₁ = 4 and the common ratio is r = 5. The nth-term formula is aₙ = arⁿ⁻¹. Therefore a₇ = 4 × 5⁶. Since 5⁶ = 15,625, the product is 4 × 15,625 = 62,500. Equivalently, continuing gives a₆ = 15,625 and a₇ = 78,125? This reveals the listed sequence indexing check: 4,20,100,500 gives a₅=2500, a₆=12500, a₇=62500. Thus option C is correct. The apparent intermediate alternative 15,625 is a₆ only under a mistaken count.
Google Analytics helps us understand site usage. Google may send limited cookie-free signals before your choice. The Live Visitors widget operates independently of this analytics choice; see the privacy policy for its provider and fallback details. Essential site features work without analytics cookies. You can change your choice later in Privacy choices. Privacy policy
