# Questions on Algebra: Sequences of numbers, series and how to sum them answered by real tutors!

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 Algebra: Sequences of numbers, series and how to sum them Solvers Lessons Answers archive Quiz In Depth

 Question 625309: The riverboat can travel 80 miles downstream in 5 hours but requires 8 hours to travel and 48 miles upstream. What is the speed of the riverboat in still water, and what is the speed of the current? Click here to see answer by lwsshak3(7677)

 Question 625312: There are 27 nickels, dimes, and quarters in the drawer with a value of \$3. How many coins of each type are there if there are three times as many nickels as there are dimes? Click here to see answer by MathTherapy(1817)

 Question 625304: The speedboat traveled at a speed that was twice as fast as the yacht. The speedboat traveled 240 miles in one hour less than it took the yacht to travel 150 miles. What were the speed and time for both the speedboat and the yacht? Click here to see answer by Emsley(35)

 Question 625307: The cylinder contains 1224 grams of the compound CaSO^4. What is the weight of the oxygen (O) in the compound? (Ca, 40; S, 32; O, 16) Click here to see answer by KMST(2478)

 Question 625521: How many different ways can the letters M,A,T and H be ordered if no repetition is permitted? Click here to see answer by jim_thompson5910(29613)

 Question 625519: A truck headed east 2 hours before a bus headed east from the same location. The rate of the bus was 60 mph, and the rate of the truck was 40 mph. How long did it take the bus to get 20 miles ahead of the truck? Click here to see answer by josmiceli(10616)

 Question 625518: The sum of the digits of a two-digit counting number is 9. When the digits are reversed, the new number is 45 less than the original number. What is the original number? Click here to see answer by lwsshak3(7677)

 Question 625807: A two-digit counting number has a value that is 1 greater than 8 times the sum of its digits. If 3 times the tens' digit is 11 greater than the units' digit, what is the number? Click here to see answer by lwsshak3(7677)

 Question 625805: seven-sixteenths of the assembled throng squatted in place. If 6399 did not squat in place, how many did squat in place? Click here to see answer by josmiceli(10616)

 Question 625808: There are 6 chairs in a row. There are 11 students. How many ways can these students sit in the 6 chairs? Click here to see answer by stanbon(60771)

 Question 626875: 1.1 Given 16(x-2)^3+8(x-2)^4+4(x-2)^5+...... As a geometric sequence and x is not equal to 2 1.1.1 Calculate the value of x for which sequence converges 1.1.2 Determine the sum to infinity of the series if x=2.5 Click here to see answer by reviewermath(721)

 Question 626886: Write the following series in sigma notation 12+7+2+.........up to 7 terms Click here to see answer by richard1234(5390)
 Question 626886: Write the following series in sigma notation 12+7+2+.........up to 7 terms Click here to see answer by jim_thompson5910(29613)

 Question 626916: Evaluate: the top sigma is 4, the bottom sigma is i=0 and the middle is [3*2^(i+1)-1]. Click here to see answer by solver91311(18785)

 Question 626918: Consider the following sequence of numbers: 2;4;2;7;2;10;2;13;... 1.3.1 If the sequence behaves consistently, write down the 12th term of the above sequence? 1.3.2 Calculate the sum of the first 50 terms of the sequence. Click here to see answer by psbhowmick(804)

 Question 626885: Consider the following sequence of numbers: 2;4;2;7;2;10;2;13;... a) Calculate the sum of the 50 terms of sequence. Click here to see answer by psbhowmick(804)

 Question 626915: A girl wants to buy her mother a birthday gift which is worth R900. She has only R400 and the birthday is in 10 days time. She decided to sell sweets to raise more money. On the first day she made a profit of 50 cents, on second day her profit was R1, on the third day her profit was R2, and so on until the 10th day. 1.2.1 Determine the total profit that the girl made. 1.2.2 Is she going to be able to afford the gift? Explain. Click here to see answer by stanbon(60771)

 Question 627027: find the general term an for the geometric sequence a1 = -6 a2 = 30 Click here to see answer by jim_thompson5910(29613)

 Question 627931: show that the points (6,7)(2,3)(4,5) lie on a straight line Click here to see answer by ewatrrr(11156)

 Question 628105: Given the sequence 3,7,13,21,31,...,183,k,241,... find k a.201 b.203 c.207 d.211 e.223 Click here to see answer by fcabanski(1132)

 Question 628389: Evaluate the sum. 8 Σ (i - 7) i=1 Click here to see answer by John10(297)

 Question 628919: xyz+zyx=686 In the correctly solved addition problem above, the letters X,Y, and Z represent different nonzero digits. What is the value of x+y+z? Please include explanations! Click here to see answer by ankor@dixie-net.com(16523)

 Question 629213: prepare 2L of a 25% alcoho solution and a 15% alcohol Click here to see answer by Alan3354(34674)

 Question 629654: The mean of a list of 80 nos. is 230. If the four nos. 145,156,210 and 255 are added, what is the mean of the list of nos. I asked this question yesterday and have been pondering it since then. I think I have the solution but would you check it for me please. Sum of 80 nos. is 18,400 80*230 Sum of 4 nos added is 766 Mean of new list is 19166/84=228.17 Thank you Click here to see answer by ewatrrr(11156)

 Question 629698: name all the sets of numbers to which each real numbers belongs. let n= natural numbers,w= whole numbers, z= integers, q=rational numbers, and i= irrational numbers /25 answers a:z,q b:n,z,q c:w,z,q d;n,w,z,q Click here to see answer by jim_thompson5910(29613)

 Question 629700: order each sets of numbers from greatest to less/43,3.6-3/2 / is square root symbol answers a:-3/2,3.6,/43 b:-3/2, /43,3.6 b:-3/2,/43,3.6 c:/43,3.6-3/2 d:3.6-3/2,/43 Click here to see answer by ewatrrr(11156)

 Question 629829: What is the common difference of a 43-term arithmetic sequence where the first term is -13 and the sum is 9,374? What is the sum of a 12-term arithmetic sequence where the last term is 13 and the common difference is -10? Provide an example of an arithmetic series which totals zero. Using complete sentences, explain how you created the example Click here to see answer by reviewermath(721)

 Question 630235: What is the next term for the given arithmetic sequence? -3, -2.25, -1.5, -0.75, ... Click here to see answer by ewatrrr(11156)

 Question 630585: A tugboat goes 180 miles upstream in 15hours. The return trip downstream takes 10 hours. Find the speed of the tugboat without a current and the speed of the current Click here to see answer by josmiceli(10616)

 Question 630701: find the next term in the sequence 5, 8, 12, 17 Click here to see answer by Tatiana_Stebko(1410)

 Question 630806: Find the rational number represented by the repeating decimal. __ 0.58 = Click here to see answer by stanbon(60771)

 Question 630804: Find the nth term, the fifth term, and the eighth term of the geometric sequence. 8,4,2,1.... an= a5= a8= Click here to see answer by dfrazzetto(277)

 Question 630801: Find the number of terms in the arithmetic sequence with the given conditions. a1=-3, d=1/3, S=55 n= Click here to see answer by stanbon(60771)

 Question 630807: Without expanding completely, find the sixth term in the expansion of the expression. ((1/c)+(c^2/2))^8 Click here to see answer by stanbon(60771)

 Question 631049: Find the first five terms of the recursively defined infinite sequence. a1=2, ak+1=3ak-4 a1= a2= a3= a4= a5= Click here to see answer by dfrazzetto(277)

 Question 631054: Use synthetic division to find the quotient and remainder if the first polynomial is divided by the second. 3x^3-3x^2+4x-5; x-5 quotient= remainder= Click here to see answer by stanbon(60771)