7. Rewrite the repeating decimal number 0.123123123123... as the sum of a geometric series, then find the reduced fraction form of the repeating decimal using the geometric formula. °first 0.123123123123...=

Q: 2√5+10+10√5....31250 determine the sum of the geometric series

A: SOLUTION-

Q: Express the repeating decimal 0.393393 as a geometric series and then evaluate the series to write…

A: Infinite geometric progression

Q: What is the formula for a geometric series?

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

Q: The unemployment rates (%) of the four countries are as follows: 5, 8, 12, 20. What is the geometric…

A: The geometric mean of this simple series is, GM=x1×x2×⋯×xnn=5×8×12×204=96004=960014=9.8985

Q: The sum of an infinite geometric series is 5. If the first term is 4, what is the value of the…

A:

Q: Evaluate the (geometric) series as follows, leave your answer in a fraction format

A:

Q: 2. (a) Write the repeated decimal as a geometric series in summation notation and then use your…

A:

Q: Evaluate the geometric series or state that it diverges.

A:

Q: 2. Write the repeating decimal 0.09 = 0.0909090909 first as a geometric series and then as a…

A: Given :0.09=0.0909090909...

Q: Consider the following repeating decimal. 0.819 (a) Write the repeating decimal as a geometric…

A: To solve for a) and b)

Q: What is meant by the sum of an infinite series?

A: Explanation: If the number of element in the series is infinite then, the series known as infinite…

Q: Find the sum of the first 10 terms of an arithmetic series defined by: 3, -1, -5... O -150 -205 O -6…

A: We can find the answer as below

Q: 4. Rewrite the given infinite (repeated) decimal as an infinite series. By summing a geometric…

A:

Q: Find the sum of the first nine terms of the geometric series 8, -24, 72... A.)-19,6893 B.)19,691…

A: We have to find the sum of nine terms of geometric series 8,-24,72..... We know that if…

Q: What is the sum of the following infinite geometric series? 0.2+0.02+0.002+ ... A 2 -/- -1/- /5

A: SOLUTION-

Q: Write the repeating decimal first as a geometric series and then as a fraction (a ratio of two…

A: Now it can be written in the form of geometric series as,

Q: What is meant by the ratio of a geometric series?

A: geometric series : an infinite sequence of numbers added whose term is found by a multiplying…

Q: Find the sum of the arithematic series with first term 1,common difference 3 and last term 100

A:

Q: Write the repeating decimal first as a geometric series and then as a fraction (a ratio of two…

A:

Q: 15 What is the sum of the geometric series 22)* rounded to the nearest whole number? x=0 a. 4 b. 0…

A: From the sigma notation of GP, it is clear that the first term a=1/2 and common ratio r =1/2. also…

Q: Find absolute value of the common ratio of the following geometric series: 1 1 3 + + 8 - - - 3 2 4 .…

A:

Q: fourth

A: We will solve the problem.

Q: Use a geometric series to express the repeating decimal 0.232323... as a simple fraction.

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

Q: . 08. If the arithmetic mean of two items of a series is 12.5 and G.M. is 10, what is the difference…

A:

Q: What is the formula for an arithmetic series?

A: We have to write formula for an arithmetic series. We know that if we have arithmetic series,…

Q: Write the repeating decimal first as a geometric series and then as a fraction (a ratio of two…

A: Given: 0.00952¯=0.00952952

Q: 1. Use the definition of a geometric series to rewrite the following series

A:

Q: Find the absolute value of the common ratio of the following geometric series: 1 3 9. - - - 3 2 4 8…

A:

Q: Convert 0.181818 ... to a fraction by writing the repeating decimal as an infinite geometric series.…

A:

Q: of the geometric series,

A:

Q: 3. Determine the sum of the first ten terms of the geometric series: -2+4-8+...

A:

Q: 9. If the following sum represents a geometric series, then which of the following is its value? (1)…

A: Solve for the sum of series

Q: 5) Find the value of the infinite geometric series. a) 500 - 100 + 20- 4+...

A:

Q: Find the sum of the first 8 terms of the geometric series: 1-3+9 – 27..

A:

Q: 43.

A: Sum of geometric series problem.....

Q: 71 S, Find the sum of each finite arithmetic series. (a, +a,) 18. 1+3 +5 +7 +9 19. 5+8+11 + ... + 26

A: Here we find out the sum of each arithmetic series

Q: Evaluate the Geometric Series or state that it diverges.

A:

Q: Evaluate the geometric series or state that it diverges.

A: Given the geometric series: ∑k=0∞-910k

Q: Consider the following repeating decimal. 0.819 (a) Write the repeating decimal as a geometric…

A:

Q: Use the formula for the sum of an infinite geometric series to solve:A new factory in a small town…

A: A new factory in a small town has an annual payroll of $6 million. It is expected that 60% of this…

Q: Find the sum of the following finite geometric series. į 10(-3)' 8. È 10(-) 2. k=1 Round your answer…

A:

Q: Evaluate the geometric series or state that it diverges.

A:

Q: Find the sum of the first 7 terms of the geometric series. 4, 12, 36, 108,.. 324 160 1093 4372

A: Given : The geometric series 4, 12, 36, 108, ...   To find the sum of the first 7 terms of the…

Q: The first three terms of a geometric series are 2x, x-8, and 2x+5 respectively. Find the possible…

A: If a, b, c are in geometric progression, then it can be written that ab=bc .

Q: Find the sum of the following finite geometric series. 8 k 10(-) 3 k=1 Round your answer to the…

A: We have to find the sum of given geometric series: ∑k=1810-23k Since there won't be any effect of k…

Q: Find the sum of the infinite geometric series with first term 6 and common ratio 8 S (Round to two…

A:

Q: what is the 20th term in a geometric series whose 5th term is 48 and 12th term is 6144?

A: Given,           A geometric series whose 5th term is 48 and 12th term is 6144.We know that,…