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

Tutors Answer Your Questions about Sequences-and-series (FREE)

Question 612406: Hello, can someone help me calculate this factorial expression. Thank you.
(60!68!34!)/248!
Click here to see answer by Alan3354(30993)

Question 612432: Determine whether or not the following sequences are arithmetic s.If yes state the common difference.
5,-5,-15,-25,-35,...
1,2,4,7,11,...
Click here to see answer by Edwin McCravy(8909)

Question 612425: write a rule for the nth term of the arithmetic sequence
1. a11=29; a20=101
2.a6=-31; a14=-135
Click here to see answer by Edwin McCravy(8909)

Question 612565: What is the fourth term of the sequence whose first term is a1=2 and whose nth term is an=4a(n-1)-11
My problem here is that i can't figure out how to use the nth term, what do you do with the info given?
Click here to see answer by jim_thompson5910(28595)

Question 612622: 3,10,32,100,i need series
Click here to see answer by dfrazzetto(277)

Question 612710: What is the sum of series below?
4
Σ(n^2+1)
n=0
I know that the 4 means there's only 4 terms, but i can't find anywhere what the n=0 means
Click here to see answer by scott8148(6628)

Question 612891: find the 8th term in the expansion (2x-1)^14

Click here to see answer by Alan3354(30993)

Question 613013: write a rulefor the nth termof the arithmetic sequence..
problem #1...a11=29;a20=101
that is a 11
problem #2 a6=-31;a14=-135

Thank you

Click here to see answer by ewatrrr(10682)

Question 613049: write a rule for thrnth term of the arithmetic sequence....
a6=-31,a14=-135
Click here to see answer by scott8148(6628)

Question 613268: Find the sum of the first four terms of the geometric sequence that starts with 3 and has r = 8.
Find the sum of the following infinite geometric series, if it exists.
4 + 3 + 2.25 + 1.6875 +…
Click here to see answer by ewatrrr(10682)

Question 613286: find the closed form of the sequence
2,5,8,11,14.
Click here to see answer by ewatrrr(10682)

Question 613547: Lisa earned $17000 her first year at city hall. After each year she received a 6% raise. Find her total earnings for her first five years on the job.
I have the correct answer by taking the long route, but I know there is a shorter way.
Click here to see answer by ewatrrr(10682)

Question 613612: Which of the following is equal to a^(bc) for all values of a, b, and c?

A. ab^c
B. a^(b + c)
C.a^ba^c
D.(a^b)^c
E.a^b(c)

Click here to see answer by ewatrrr(10682)

Question 614089: Find the sum of the following infinite geometric series, if it exists.
1.02 + 2.04 + 4.08 + 8.16 +…
Click here to see answer by ewatrrr(10682)

Question 614085: Find a decimal approx for S (sub 15) in the geometric sequence with first term 83 and common ratio 1.07
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Question 614130: What is the sum of the finite arithmetic series?
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Question 614015: find the 27th term in the binomial expansion of (2x+1)^30
Click here to see answer by ewatrrr(10682)

Question 614274: (.24/.4)(100/48)x = 1 then x = what

Click here to see answer by Alan3354(30993)

Question 614379: Two numbers are such that the ratio between them ir 3:5.if each is increased by 10,the ratio between the new numbers so formed is 5:7.find the original numbers.
Click here to see answer by ankor@dixie-net.com(15650)

Question 614717: What is a recursive and an explicit formula for the sequence: 2/3, 4/9, 16/81 ...
Click here to see answer by Edwin McCravy(8909)

Question 614773: three men do a piece of work,the first does 7/15,the second does 5/6 of the remainder while the third does the rest. If the rest done by the third person equals 24units,find whole piece of work

Click here to see answer by richwmiller(9135)

Question 614945: Find the sum of geometric series 7+7+7+...9 terms?
Click here to see answer by stanbon(57342)

Question 614946: Find the sum of geometric series 7+7+7+...9 terms?
Click here to see answer by rfer(12657)

Question 614863: the sequence is defined recursively. Write the first five terms.
a1=2, a2=5; an=an-2 - 3an-1.
Click here to see answer by ashipm01(26)

Question 614275: ((1/x)+(1/x^2))/(1/x^3)
Click here to see answer by asuar010(324)

Question 615227: what is the sigma notation of the following series?
5,10,20,40,80................
Click here to see answer by jim_thompson5910(28595)

Question 615325: Two cards are drawn from a standard deck of cards. What is the probability that both cards are diamonds.
I got 1/13. Is that correct?
Click here to see answer by Alan3354(30993)

Question 615322: Which of the following are the first three iterates of the function f(x)=3x+2 for the initial value of x^0=-2
a. -2,-4,-10
b. 4, -10,28
c. -4, -10, -28
d. -4, 10, -28
I think the answer is (C). Is that correct?
Click here to see answer by jim_thompson5910(28595)

Question 615420: 31st term of 11, 8, 5, 2, -1. Help with simple language please. I'm only in eighth grade, so confused.
Click here to see answer by stanbon(57342)

Question 615534: Find the ninth term of the geometric sequence for which a1 = –7 and r = – 1/3.
I think the answer is .001066911. Is that correct?
Click here to see answer by scott8148(6628)

Question 615536: A group of seven people have tickets to see a play. They are going to sit in a row of seven seats, with an aisle at each end of the row. One of the people needs to sit next to an aisle, because she must leave early. How many different ways can the people sit in the row?
I think the answer is 10,080. Is that correct?
Click here to see answer by scott8148(6628)

Question 615881: Find the sum of the series 1 + 1/3+1/9+1/27+, , if it exists.
I got 1 13/27 is that correct?
Click here to see answer by stanbon(57342)

Question 615882: Find the fourth term in the expansion of (5x + 3y)^7
Not sure how to do this one.
Click here to see answer by stanbon(57342)

Question 616124: what is the sigma notation of (-1,2,7,14,23...)
Click here to see answer by ewatrrr(10682)

Question 616172: How do I write the following series in sigma notation form?
5+5+(5/2)+(2/6)+(5/24)+...
Click here to see answer by Edwin McCravy(8909)

Question 616278: Find the sum of the infinite geometric series: 24 + 12 + 6 + 3 ... Thank you!
Click here to see answer by jim_thompson5910(28595)

Question 616600: Determine if the sequence is geometric, arithmetic, both, or neither: 256, 64, 16, 4, ...
Click here to see answer by jim_thompson5910(28595)

Question 616782: what is the series in summation notation?
4+2+1+1/2+1/4+...

Click here to see answer by ewatrrr(10682)

Question 616826: use partial sum formulas and the information provided to find the sum :
1 - 4 + 16 - 64 .... n = 9
20 + 27 + 34 + 41 .... n = 16
Click here to see answer by ewatrrr(10682)

Question 616825: use partial sum formulas and the information provided to find the sum :
1 - 4 + 16 - 64 .... n = 9
20 + 27 + 34 + 41 .... n = 16
Click here to see answer by ewatrrr(10682)

Question 617671: Find a number whose product with 6 is the same as its sum with 60
Click here to see answer by solver91311(16885)

Question 617675: Find a number whose product with 6 is the same as its sum with 60. 2.What degree Fahrenheit is it if the temperature is 15 degrees Celsius? Show all steps or reasoning. Be sure to check your answer for reasonableness.3.Nora has six coins of the same kind. One thirty cent stamp and three of the coins have the same value. What type of coin does she have? (Type in penny, nickel, quarter, dime, half dollar or dollar.) Show all steps or reasoning used. 4. Drew is making a cardboard cut out of a right triangle. He knows that the longest side must be 15 inches long. One of the short sides must be 8 inches. How many inches long will he make the other side? Use the appropriate formula to find the solution and round to the nearest tenth. Show all steps or reasoning used. Be sure to check your answer for reasonableness. Could you help me on these questions cause I do homeschool and I cant figure this out I will be waiting thank you so much bye.

Click here to see answer by solver91311(16885)

Question 617758: I need help understanding geometric sequences, I have this really hard problem that I just do not understand, can someone please help. Stock prices...equation P+P(1+i/1+r)+P(1+i/1+r)squared... I need to find the most to pay. i=interest added anually r+annual rate of return.
Click here to see answer by Theo(3464)

Older solutions: 1..45, 46..90, 91..135, 136..180, 181..225, 226..270, 271..315, 316..360, 361..405, 406..450, 451..495, 496..540, 541..585, 586..630, 631..675, 676..720, 721..765, 766..810, 811..855, 856..900, 901..945, 946..990, 991..1035, 1036..1080, 1081..1125, 1126..1170, 1171..1215, 1216..1260, 1261..1305, 1306..1350, 1351..1395, 1396..1440, 1441..1485, 1486..1530, 1531..1575, 1576..1620, 1621..1665, 1666..1710, 1711..1755, 1756..1800, 1801..1845, 1846..1890, 1891..1935, 1936..1980, 1981..2025, 2026..2070, 2071..2115, 2116..2160, 2161..2205, 2206..2250, 2251..2295, 2296..2340, 2341..2385, 2386..2430, 2431..2475, 2476..2520, 2521..2565, 2566..2610, 2611..2655, 2656..2700, 2701..2745, 2746..2790, 2791..2835, 2836..2880, 2881..2925, 2926..2970, 2971..3015, 3016..3060, 3061..3105, 3106..3150, 3151..3195, 3196..3240, 3241..3285, 3286..3330, 3331..3375, 3376..3420, 3421..3465, 3466..3510, 3511..3555, 3556..3600, 3601..3645