Example 9 - Find 10th and nth terms of GP 5, 25, 125 - Geometric Progression(GP): Formulae based

Example 9 - Chapter 9 Class 11 Sequences and Series - Part 2

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Transcript

Example 4 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 10th term of GP Putting n = 10 in an an = 5n a10 = 510 Hence, the nth term of GP is 5n & 10th term of GP is 510

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Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.