In lowest terms, give the fraction represented by each of these repeating decimals. (a) 0.333 ... = 0.3 (b) 0.142857142857142857... =0.142857 (c) 0.3846153846154 . ..= 0.384615

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A: nth teram formula for geometric progressionan=arn-1where a is the first term and r be the common…

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A: Given that, there are 20 Observations means the sample size is n= 20 Geometric mean is,  G.M.= 6.28…

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A: To solve for a) and b)

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Q: Calculate the Harmonic Mean of the following series : Values : 2 6. 10 14 18 Frequency: 4 12 20 9. 5

A: Given data; x f fx 2 4 2 6 12 2 10 20 2 14 9 0.6429 18 5 0.2778   n=50 ∑(fx)=6.9206

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A: Given, repeating decimal is: 0.418¯

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Q: Find the sum of the following series: 00 7. n² (-3)" n=1

A: See solution below

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

A:

Q: What is the sum of the geometric series 4 2,341 256 525 64 2,343 256 3,069 256

A: To find: Sum of the series

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A:

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A:

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

A:

Q: Approximate the sum of the series correct to four decimal places. (-1)" 5 n! n= 1

A: We have to approximate the sum.

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A:

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A:

Q: Find the first term for the geometric series described: Sn=484 an=324 r=3

A: Recall: Sum of the n-terms of the geometric series , Sn = a( 1-rn) /(1-r)    ; where a is the first…

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

A: Given, 0.83=83100+8310,000+831,000,000+..

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

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

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A: given : data to find: cumulative frequency chart

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A: The given geometric series 1-2y2+4y4-8y6+....... The first term and the ratio of geometric series…

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

A: Solution is written in below steps.

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A: To find the value of L using ratio test

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A: Given: ∑n=1∞-1nn10n

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A: Compute the percentage for 1250

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A:

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A: Given

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Q: Approximate the sum of the series correct to four decimal places. 00 5 n! n = 1

A: use exponential function as taylor series

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A: This question is related to series .solve in step 2.

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

A: Given Arithmetic series is, : 4, 11,....... For  Arithmetic series the sum to n terms is given as:

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Q: Write the general formula for following alternating series in the form 3 3 3 10 11 12 13

A: we have to find general formula for series

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Q: 8x 2x 32x 128x 3 +... 7.

A:

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.