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 458200: Write the explicit formula for a_n given a1=-7 and a common difference of 1/2
Click here to see answer by stanbon(57967)

Question 458197: write the first 5 terms of the following recursive sequence: a1=5 a_n=a_n-1 +2
Click here to see answer by stanbon(57967)

Question 458244: 5 over z+7= 4 over z-4
Click here to see answer by Alan3354(31522)

Question 458244: 5 over z+7= 4 over z-4
Click here to see answer by stanbon(57967)

Question 458244: 5 over z+7= 4 over z-4
Click here to see answer by MathLover1(6812)

Question 458358: write the series in sigma notation
3 + 6 + 12 + 24 + 48
Click here to see answer by robertb(4012)

Question 458520: Find the next term of the sequence. 1, 8, 27, 64
Click here to see answer by josmiceli(9817)

Question 458830: 3 8 6 3
9 7 5 5
9 5 3 9
4 2 8 8
6 5 8 3
which is the odd sequence
Click here to see answer by Edwin McCravy(8999)

Question 459121: write the 1st 6 terms of the sequence an=n+4

Click here to see answer by robertb(4012)

Question 451065: 32-26=6
9-3=6
11-5=6
???-8=6
???=14
Click here to see answer by dadans(1)

Question 459240: How can the sum of this sequence, -5, -2, 1, 4, 7 be represented?
Click here to see answer by J2R2R(94)

Question 459465: What is the sigma notation of -3-1+1+3+5?
Click here to see answer by Edwin McCravy(8999)

Question 459503: Use differences to find a pattern in the sequence.
9,14,25,50,97,174,289
Assuming the pattern continues, what is the 8th term?
Click here to see answer by richwmiller(9144)

Question 459506: A local toy store sells whistles in packages of 4,8, or 16. If you need 40 whistles for a party, in how many different combinations can you buy them?
Click here to see answer by edjones(7569)

Question 459568: A department contains 8 men and 20 women. It needs to build a committee of 6.
a. How many ways can you build these committees?
Committees with only women?
Committees with one man?
Committees with two men?
Committees with three men?
b. How many ways are there to form a committee with 6 members if it must have more women than men?
Click here to see answer by stanbon(57967)

Question 459567: How many strings of five upper class English letters are there for each of the following restrictions?
A string of letters need not be a real word, so XYZWT is a good string.
a. Start with an X and letters can be repeated
b. No letter can be repeated
c. Start and end with an X and letters can be repeated
d. Start with the letters BO(in that order) and letters can be repeated
e. Start and end with the letters BO(in that order) and letters can be repeated
f. Start or end with the letters BO(in that order)if letters can be repeated
Click here to see answer by Edwin McCravy(8999)

Question 460021: Identify the pattern and find the next term:
6, 1, 9, 5, 12, 9, 15,____
Click here to see answer by rfer(12730)

Question 460124: After stricking a floor , a certain ball rebounds 4/5 th height from it has fallen. Find the total distance that it travels before coming to rest, if it is gently dropped from a height of 120 m
Click here to see answer by stanbon(57967)

Question 459982: what is the explicit function and the recursive formula for the terms 2000, 2120, 2247.20, 2382.03,....
Click here to see answer by richard1234(5390)

Question 460509: Use the explicit formula an=a1+(n-1)d to find the 500th term of the sequence below.
24,31,38,45,52,..

Click here to see answer by nerdybill(7008)

Question 460599: Order 3.4 × 10^3, 1.2 × 10^7, 8.11 × 10^–3, and 4.35 × 10^2 from least to greatest.
Click here to see answer by richwmiller(9144)

Question 460592: Find the third term of (x+y)^8
Click here to see answer by solver91311(17077)

Question 460592: Find the third term of (x+y)^8
Click here to see answer by edjones(7569)

Question 460587: Find the arithmetic means between -4 and 16
Click here to see answer by edjones(7569)

Question 460585: Find the sum of the arithmetic series where a[1]=7, n=31, and a[n]=127
Click here to see answer by edjones(7569)

Question 460755: Find the 14th term of the sequence 8,15,22,29
Insert three arithmetic means between 6 and 18
Find the 5th term in the geometric sequence

Click here to see answer by robertb(4012)

Question 460883: A convenience store asked every 21st person who entered the store for a week, their opinion of the automatic checkout machines. Is this an unbiased sample? Give a reason for your conclusion.
Click here to see answer by richard1234(5390)

Question 461296: if a,b,c are in h.p then prove that bc/(b+c),ca/(c+a),ab/(a+b) are in h.p
Click here to see answer by richard1234(5390)

Question 462230: What is the sum of the arithmetic sequence 5, 11, 17 …, if there are 24 terms?
Click here to see answer by math-vortex(472)

Question 462232: What is the sum of a 17–term arithmetic sequence where the first term is 6 and the last term is –90?
Click here to see answer by math-vortex(472)

Question 462233: A tuition scale for a state university shows an increase of $1,300 each year.
If the initial cost was $21,000, what will the cost of tuition be in twenty three years?
Please explain how an arithmetic sequence was applied.
Thank you!
Click here to see answer by math-vortex(472)

Question 463882: What is the 32nd term of the arithmetic sequence where a1 = 4 and a6 = 39 ?
Click here to see answer by stanbon(57967)

Question 463762: The eighth term of an arithmetic sequence is 55 and the tenth term is 77. Find the third term.
Click here to see answer by robertb(4012)

Question 464959: what does the "%" stand for?
Click here to see answer by edjones(7569)

Question 464968: find a n for the following geometric sequence a1=4,r=-3
Click here to see answer by stanbon(57967)

Question 464968: find a n for the following geometric sequence a1=4,r=-3
Click here to see answer by Gogonati(817)

Question 465062: solve the equation x^3+2x^2+x+2=0, if -2 is a root.
Click here to see answer by stanbon(57967)

Question 465061: use the factor theorem to determine whether (x-3) is a factor of
f(x) = x⁴+ 12x³ + 6x + 27

Click here to see answer by Edwin McCravy(8999)

Question 465281: Find a positive interger values for a and ab that satisfies the equation 1/a + a/b + 1/ab = 1
Please provide workings
Thanks
Doug
Click here to see answer by richard1234(5390)

Question 465282: Find positive interger values for a and b that satisfies the equation 1/a + a/b + 1/ab = 1
Please provide workings
Thanks
Doug
Click here to see answer by richard1234(5390)

Question 465403: what is the relation of the turm of the sequance 200,90,10,100,150,50

Click here to see answer by Edwin McCravy(8999)

Question 465959: 〖4y〗^2-〖5x〗^2+〖4z〗^2; -〖5z〗^2+〖8y〗^2 (subtract)
Click here to see answer by Scorinitron(19)

Question 464847: The length of a rectangle is 2 inches less than 3 times the number of inches in its width. If the perimeter of the rectangle is 28 inches, what is the width and length of the rectangle?
{Width in., Length in.}

Click here to see answer by sofiyac(695)

Question 466146: What is the next term in the geometric sequence 16, –4, 1, – 1
4 , … ?
Click here to see answer by stanbon(57967)

Question 466170: what is the sum of the infinite 52+78+117+...
Click here to see answer by robertb(4012)

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, 3646..3690