Express 1/11 as a repeating decimal, using a slash to indicate the repeating digits. What are the decimal expansions of the following fractions: 11/2, 11/3, 11/9, and 11/11?

Q: What is the value of d in the arithmetic series 8 +b + c + d + e +... if the sum of the first 87…

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Q: Use three terms of the expansion for √1 + x to calculate the value of √1.1018.

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Q: Express the repeating decimal, 0.529529529... as a fraction in lowest terms.

A: It is required to express the repeating decimal as a fraction in lowest form.The given repeating…

Q: Define the term the decimal expansion?

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Q: Express the repeating decimal as the ratio of two integers. 1.11123 = 1.11123123123...

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Q: Express the repeating decimal as a fraction in lowest terms. 62 0.62 = 100 62 62 + +... 10,000…

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Q: Express the repeating decimal as the ratio of two integers.   1.55123=1.55123123123

A: Consider the repeating decimal  1.55123=1.55123123123

Q: Express the repeating decimal as a fraction. 47134343343/100 0.4713 43 43 43...

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Q: What is the value of c in the arithmetic series 5 + b + c + d + e +.. if the sum of the first 80…

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Q: determine a reduced fraction that has this repeating decimal. 0.313131 . . .

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Q: For the arithmetic series 35+ 32 +29, determine the value of S5.

A: In this question, we want to find the value of S5 for the given arithmetic series.

Q: Express the repeating decimal as a fraction in lowest terms.

A: Given repeating decimal 0.5

Q: Express the repeating decimal as a fraction in lowest terms.

A: Let X=110+1100+11000+110000 +----                        ..... (1)

Q: Express the repeating decimal as a fraction. 0.4511 414141.

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Q: Find the Arithmetic Series. 19, an = 309, 1 n 30

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Q: Show that 0.222 is a rational number and find its value using geometric series

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Q: Express the repeating decimal as a fraction. 0.685828282828...

A: Given that 0.685828282828 Convert the repeated decimal as a fraction.

Q: Express the repeating decimal as a fraction. 0.451141414141... 0.451141414141...

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Q: 4. use Geometric Series to find the fraction notation for: 0.55555...

A: Geometric Series is the series in which their is common ratio between all the elements of the…

Q: Find the sum of the following arithmetic series and write in summation notation.

A: Given series is -17,-12,-7,....,33

Q: 1. What is the decimal expansion of the following fraction? 2. What is the decimal expansion of the…

A: 1)  To find decimal expression for the fraction 15 . Fraction 15 indicate the division between 1…

Q: Find a, and d for the arithmetic series. S12 = - 110, a12 = - 18 %3D %3D

A: We have to find a1 and d of the arithmetic series.

Q: Express the repeating decimal (shown) as a fraction in lowest terms.

A: Let x=0.47¯ Therefore, 100x=47.47¯   100x-x=47.47¯-0.47¯ ⇒99x=47 On dividing both the sides by 99,…

Q: Express the repeating decimal as the ratio of two integers. 1.19789 = 1.19789789789.. The ratio of…

A: To express the given repeating decimal as the ratio of two integers. 1.19789¯=1.19789789789...

Q: Express the repeating decimal 1.2345345345 . . . as a  fraction.

A: we have to express the repeating decimal 1.2345345345 . . . as a  fraction.

Q: Find a rational fraction equivalent to following infinitely repeating decimal: a.)3.123123 b)…

A: a.let x=3.123123............(i)multiply by 10001000x=3123.123123...........(ii)substract…

Q: Express the repeating decimal (shown) as a fraction in lowest terms.

A: To determine: Express 0.5 as a fraction in lowest terms.

Q: Find a and d for the arithmetic series. S12 = -108, a12 = -20 .... a = (Type an integer or a…

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Q: How do I write the following repeating decimal as a fraction of integers? 0.34873487348734873487...

A: To determine the repeating decimal as a fraction of integers.

Q: A farmer has a crop of 2,000 orange trees at the beginning of this year. Each year, the farmer plans…

A: Given,         A farmer has a crop of 2000 orange trees at the beginning of this year. Each year,…

Q: 1111 -216 + 36 - 6 + 1., S= 6.

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Q: Express the repeating decimal as a fraction. 0.4511 414141..

A: Solution is written in below steps.

Q: Build the fraction into an equivalent fraction with the indicated denomina ;xy'

A: 8y;xy2

Q: Find the sum of the arithmetic series. 3+5+7+9+...+19

A: Explanation of the answer is as follows

Q: Find a, and d for the arithmetic series. S12= -110, a12 = - 18 %D a1 (Type an integer or a…

A: see below the answerand sum of the arithmatic sequence is Sn=n22a+n-1×dalso the nth term of the…

Q: Find the sum of the following arithmetic series and write in summation notation.

A: To find the sum of the given arithmetic series and write in summation notation.

Q: the repeating decimal can be written as a geometric series Σar^k  0.555555555...  what is the value…

A: Given

Q: Find a, and d for the arithmetic series. = - 108, a12 S12 = -15 a, = (Type an integer or a…

A: Consider an arithmetic series with first term as a1, and difference d. The nthterm is given by:…

Q: Determine a reduced fraction that has this repeating decimal. (Use symbolic notation and fractions…

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Q: Express the repeating decimal as a fraction in lowest terms. 83 83 83 0.83: + ... 100 10,000…

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Q: Find the indicated sum: (-3)-1 O 1/4 -1660 -1424 -1640

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Q: Convert the repeating decimal to a/b ​form, where​ a, b are integers and b≠0.   3.27 (repeat bar…

A: We can convert this by assuming the given number as x  Then multiply with number and we will get…

Q: Express the repeating decimal as a fraction. 0.685828282828... 0.685828282828...

A: This question is based on conversion from repeating decimal to fraction.

Q: Express the repeating decimal as a fraction in lowest terms.

A: The repeating decimal given is , 0.47¯. Expand the repeating decimal 0.47¯.…

Q: Determine the sum, if it exists, of the series. Σ1Ο m+1 2 m=1 Enter your answer as a simplified…

A: Given the series:

Q: Determine the number of terms in the geometric series 2+8+32+ ... + tn if the sum is 10 922.

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Q: How many terms are in the following geometric series

A: Given: a1=1,r=14,Sn=13651024 To find: Number of terms in the geometric series (n)

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.