Determine which reduced fractions have a repeating decimal of the form 0.aaa . . . , where a = 0, 1, 2, . . . , 9.

Q: [C] By constructing a difference table and taking the second order differences as constant; find the…

A: Here given series is 8,12,19,29,42,....  we have to find 6th term and given that second   order…

Q: Use a formula to find the sum of the following arithmetic series. 1+2+3+4 + .. + 33 The sum of the…

A:

Q: Mr. Miller asked his students how many hours of TV they watched per day (to the nearest half hour).…

A:

Q: Find the common ratio of the given sequence. 3 1 1 1 1

A: To find the common ratio:

Q: ind the sum of the geometric series 20 40 5 - " + 9. 27

A: In this question, the concept of the sequence is applied. Sequence A series is created by a…

Q: 2k 8∞ Ek=072k) ! Lk%3D

A: Let us consider the function f(x)=ex The expansion of the exponential function is…

Q: 0.63

A:

Q: Consider the following sequence of towers of unit cubes. How many unit cubes are there in the nth…

A: First we will count the number of cubes in all the four diagrams. In Diagram 1: 1 cube In Diagram…

Q: Find the number of terms in the arithmetic series: 24+2+3+...+20 17 20 20

A:

Q: How many terms are required to ensure that the sum is accurate to within 0.0002? 00 n=1

A:

Q: You accept a new job with a starting salary of 48,000. Because of your stellar preformance at work,…

A: The starting salary of the new job is 48,000.Percentage of salary raise at the start of second year…

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

A:

Q: 5. Express each of the following repeating decimals as fractions in reduced form. a) 0.57 b) 31.36…

A:

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...

A:

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

A:

Q: Which figure completes the series? A B C D

A:

Q: Express the repeating decimal as a fraction in lowest terms. 99 0.99 = 99 99 100 * 10,000 *…

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

A:

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: Find the partiat sum for en ch an thme tic requenco

A:

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

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

Q: Write each series as a summation in sigma notation. 4 12+4+–+ 9. 4 + 27 Σ 4+ 3. OW

A: The given series is: 12+4+43+49+427

Q: 4. a. For each of the following decimals, show how to write the decimal as a fraction by first…

A:

Q: Determine the sum of the following series. 31 10 Σ(1)

A:

Q: 20) a, =-1, r=-5, S = 104 19) 2-4-=-341 i=1

A: We have to determine the number of term n in each geometric 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: 43.- Study the following series of numbers, which number should go where the question mark is?

A: check out the sequence and find the missing number.

Q: Express the repeating decimalas a fraction. 0.517838383838.. 0.517838383838... =

A:

Q: determine a reduced fraction that has this repeating decimal. 0.222 . . .

A:

Q: How many terms are required to ensure that the sum is accurate to within 0.0002? e-n n=1

A: We have to find the number of terms required for the sum to be accurate within 0.0002 .

Q: Express 1/11 as a repeating decimal, using a slash to indicate the repeating digits. What are the…

A: Consider the number 111. Divide the number 1 by 11 as follows. 110.0909100991000100991 It can be…

Q: a, = 2, a, = 1 r = 2048 4

A: Explanation of the answer is as follows

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

A:

Q: When written in decimal form the following fraction terminating repeating

A: We have to check

Q: evlayte each arithmetic series described  14 +17+20+23...,n=12

A: 14+17+20+23+...n=12 the first term is  a1=14 . find the difference between two terms d=17-14 d=3 .…

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

A: Given

Q: Find the value of the arthmetic series below 3+6+9+...+48 A 357 B 458 C 396

A: Solution:-3+6+9+...+48First term, a=3Second term=6nth term, an=48Common difference, d=6-3=9-6=3nth…

Q: In lowest terms, give the fraction represented by each of these repeating decimals. (a) 0.333 ... =…

A:

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

A:

Q: B) In some families, the women choose to continue having children until their first boy is born, and…

A: Let us first assume that the probability of giving both to a boy or a girl to be equal that is 0.5.…

Q: If you have a wooden board that is 2 meters wide, how long should you cut it such that the Golden…

A: Let the one part of the wooden board be x and the second part be y Then clearly  x+y = 2xy = 1.618…

Q: Find S, for each arithmetic series. 7. a, = 12, a, = 117,n=36 8. 4+ %3D %3D

A: Since you have asked multiple question, we will solve the one question for you. If you want any…

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: 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.