WebMar 30, 2024 Β· Example 9 Find the 10th and nth terms of the G.P. 5, 25,125, . 5, 25,125, We know that an = arn 1 where an = nth term of GP n is the number of terms a is the first term r is the common ratio Here, first term a = 5 , common ratio r = 25/5 = 5 Now, nth term of GP = an = arn 1 = 5 (5)n 1 = 51 5n 1 = 51 + n 1 = 5n Hence, nth term of G.P. = 5n For β¦ WebClick hereπto get an answer to your question οΈ For a sequence, if Sn = 3(2^n - 1) , find n^th term, hence show that it is a G.P. Also find the common ratio.
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WebFeb 20, 2024 Β· Given first term (a), common ratio (r), and an integer N of the Geometric Progression series, the task is to find the N th term of the series. Examples: Input: a = 2 r = 2, N = 4 Output: The 4th term of the series is : 16 Input: a = 2 r = 3, N = 5 Output: The 5th term of the series is : 162 Recommended Practice WebThe sum S of an infinite geometric series with β 1 < r < 1 is given by the formula, S = a 1 1 β r An infinite series that has a sum is called a convergent series and the sum S n is called the partial sum of the series. You can use sigma notation to represent an infinite series. For example, β n = 1 β 10 ( 1 2) n β 1 is an infinite series. eintracht frankfurt champions league ticket
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WebSolution: If n is the number of terms, we have: Sn = 5(2n β1) 2β1 = 315 β 2n β1 = 63 β n = 6 S n = 5 ( 2 n β 1) 2 β 1 = 315 β 2 n β 1 = 63 β n = 6. The last term is. T 6 =arnβ1 = β¦ WebFor a G.P. if a = 2, r = 3, Sn = 242 find n . Maharashtra State Board HSC Science (Computer Science) 11th. Textbook Solutions 7403. Important Solutions 22. Question Bank Solutions 4567. Concept Notes & Videos 127. Syllabus. For a G.P. if a = 2, r = 3, Sn = 242 find n - Mathematics and Statistics ... WebNov 10, 2024 Β· About this item [Quadruple Efficiency Filtration]: A-Premium cabin air filters are comprised of four layers that provide up to 99.97% filtration, which helps to keep dust, soot, pollen, mold and other airborne contaminants from entering the vehicle, and offer the driver and passengers clean, fresh, and odor-free air. eintracht frankfurt champions league im tv