Skip to content

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

Mathematics

Geometric Progression

गुणोत्तर श्रेणी

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.

Practice questions

What is the sum of the first (4) terms of the geometric progression (6,18,54,162,\ldots)?MediumLevel 54 If a geometric progression has (a_2=21) and (r=3), what is (a_1)?MediumLevel 54 What is the sixth term of the sequence 3/4, 3/2, 3, 6, …?MediumLevel 54 What is the sixth term of the geometric progression (128,64,32,16,\ldots)?MediumLevel 54 If \(a=2\) and \(r=6\), what is \(a_4\)?MediumLevel 54 Which option has common ratio (\frac{1}{5})?MediumLevel 54 In the geometric progression (2, 6, 18, 54, …), which term is 486?MediumLevel 54 If \(a_n=16\left(\frac{1}{2}\right)^{n-1}\), what is \(a_4\)?MediumLevel 54 If (3,12,x,192) is a geometric progression, what is (x)?MediumLevel 54 What is the sum of the first (4) terms of the geometric progression (12,24,48,96,\ldots)?MediumLevel 54 If a geometric progression has (a_3=45) and (r=3), what is (a_1)?MediumLevel 54 What is the (n)th term of the sequence (10,20,40,80,\ldots)?MediumLevel 54 If (a=2) and (r=3), what will be the sum of the first (5) terms?MediumLevel 54 If a₁ = 20 and r = 1/2, what is a₄?MediumLevel 54 Which value of (x) makes (6,30,x) a geometric progression?MediumLevel 54 In the sequence (3, 15, 75, 375, …), which term is 1875?MediumLevel 54 If a geometric progression has (a_2=12) and (a_5=324), and the ratio is positive, what is (r)?MediumLevel 54 What is the sixth term of the geometric progression (2, -4, 8, -16, ...)?MediumLevel 54 Which option has the first four terms of a geometric progression with (a=12) and (r=2)?MediumLevel 54 If (4,20,100,\ldots) is a geometric progression, what is the product of the first three terms?MediumLevel 54