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Which term of the G.P. 5, 25, 125, 625, … is 510? - Mathematics and Statistics

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प्रश्न

Which term of the G.P. 5, 25, 125, 625, … is 510?

योग
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उत्तर

Let nth term, i.e., tn be 510.

∴ tn = 510

∴ arn–1 = `1/(5^10)`, where a = 5, r = 5

∴ 5.(5)n–1 = 510

∴ 5n = 510

∴ n = 10

Hence, t10 of the G.P. is 510.

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अध्याय 2: Sequences and Series - Exercise 2.1 [पृष्ठ २७]

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बालभारती Mathematics and Statistics 2 (Arts and Science) [English] Standard 11 Maharashtra State Board
अध्याय 2 Sequences and Series
Exercise 2.1 | Q 3 | पृष्ठ २७

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