The repeating decimal 0.18181818...can be expressed as the infinite geometric series 3 0.18 + 0.18 100, + 0.18( 100, + 0.18 100 Determine the rational number whose decimal expression is 0.18181818....

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A: nth turm :an = a + (n-1)dSum :Sn = n2 (a + an)

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A: Substitute n from 1 to 5  and add all terms

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A: The objective of the question is to express the given repeating decimal number 15.0225825825825...…

Q: 1. Write 15.0225825825825... as a quotient of two integers in lowest terms, by writing the number as…

A: We need to write 15.0225825825825... as a quotient of two integers in lowest terms, by writing the…

Q: Find the sum of the series 1.1075 X Σ n = 1 ne correct to four decimal places.

A: The sum of infinite geometric series a+ar+ar^2+... is given by a/(1-r)