Sequence is any group of numbers with some pattern. All exercise questions, examples, miscellaneous are done step by step with detailed explanation for your understanding. Solutions of Chapter 8 Sequences and Series of Class 11 NCERT book available free. If the first term is zero, then geometric progression will not take place.Updated for new NCERT - 2023-2024 Edition. Q 6: Can zero be a part of a geometric series?Ī: No. While a geometric sequence is one where the ratio between two consecutive terms is constant. Diagram illustrating three basic geometric sequences of the pattern 1(rn1) up. An arithmetic sequence is one where the difference between two consecutive terms is constant. is a geometric sequence with common ratio 1/2. Q 5: Explain the difference between geometric progression and arithmetic progression?Ī: A sequence refers to a set of numbers arranged in some specific order. Here a 1 is the first term and r is the common ratio. Formulas and properties of Geometric progression. Geometric Sequences Practice Problems Geometric Progression Tutorial. Q 4: What is the formula to determine the sum in infinite geometric progression?Ī: To find the sum of an infinite geometric series that contains ratios with an absolute value less than one, the formula is S=a 1/(1−r). In this page learn about Geometric Progression Tutorial n th term of GP, sum of GP and geometric progression problems with solution for all competitive exams as well as academic classes. For example, the sequence 2, 4, 8, 16 … is a geometric sequence with common ratio 2. Q 3: Explain what do you understand by geometric progression with example?Ī: A geometric progression (GP) is a sequence of terms which differ from each other by a common ratio. Substituting values in the equation we get n = 5 Sum of n terms of GP is a * (r n – 1)/ (r – 1) Q 2: How many terms of the series 1 + 3+ 9+…. If the first, third and fourth terms are in G.P then?
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