Tutors Answer Your Questions about Sequences-and-series (FREE)
Question 376960: Find the 7th term of the geometric sequence −8, 4, −2, ...
(a) by listing out the first terms of the sequence.
(b) by using a formula for finding the nth term of a geometric sequence.
Then a second one which is similar is finding the 10th term of the g.s. 3, 6, 12, ...
(a) by listing out the first 10 terms of the sequence.
(b) by using a formula for finding the nth term of a geometric sequence.
Click here to see answer by ewatrrr(10682)   |
Question 380464: The nth term is given,need help finding the first 4 terms, a8 and a12
an=(-1)n(2n+4)
Need help finding the indicated term of this sequence
an=7+150/n;a17
How do I prove that for every natural number n,
1+3+5...+(2n-1)=n2
How do I find the sum, if it exist
10+1+1/10+1/100...
How do I find the sum of the first 14 terms of the geometric series
20-25+25/2...
How do I find the indicated term
4,8,16,32 and the 17th term
Click here to see answer by solver91311(17077)  |
Question 382111: what is the sum of terms if the first 12 terms are :2.6,3.1,3.6,4.1,4.6,5.1,5,6,6.1,6.6,7.1,7.6,8.1
Click here to see answer by user_dude2008(1861) |
Question 384236: Question: There are 9 horses in a race. In how many ways can the first 3 positions of the order of the finish occur. Assuming no ties.
I did the 9*8*7*6.... method but not sure what next. I tried dividing by 6 but a mistake.
Click here to see answer by Alan3354(31537)  |
Question 384316: Find the missing number: 5, 8, 6, 4, 4, 0, 8, ?
I tried 3n-1. I started with n=2,then n=3, but it failed at n=4.
I also tried the multiple of the difference of the numbers. the difference between 5&8 is 3, then multiply that by the difference between 8&6 which is 2; so (5-8)* (8-6)= 6. Then (8-6) * (6-4)=4, then (6-4) * (4-4)=0
That's where it failed.
I also tried 2n-1 starting with n=3, but that failed also.
I looked for a pattern in the difference between the numbers, like the triangular numbers or Fibonacci numbers but no luck.
I don't know what else to try.
Click here to see answer by richard1234(5390)  |
Question 384386: Hi Please help,
Obtain the Maclaurin series expansion about the point 0 for the function ln(x+1) as
ln(x + 1) = x-x^2/2+x^3/3+(1)^n+1x^n/n + ...
Note that we cannot find a Maclaurin expansion of the function ln x since ln x does not exist at x = 0 and so
cannot be differentiated at x = 0.
Thank You in advance
Matt
Click here to see answer by richard1234(5390) |
Question 386226: Hi! I have a couple of questions I need help with so I would love for step-by step solutions. Thanks!
1. Find he sum of the integers between 1 and 100 which are not divisible by 3
2. Three consecutive terms of an arithmetic sequence have a sun of 12 and a product of -80. Find the terms.
3. Each year a sales-person is paid a bonus of $2000 which is banked into the same account which earns a fixed rate of interest of 6% p.a. with interest being payed annually. The amount at the end of each year in the account is calculated as follows: A(0) = 2000
A(1) = A(0) x 1.06 + 2000
A(2) = A(1) x 1.06 + 2000 etc.
Find the total bank balance after 10 years. Assume no fees or charges
4. A ball takes 1 second to hit the ground when dropped. It then takes 90% of this time to rebound to its new height and this continues until the ball comes to a rest.
a. Show that the total time of motion is given by 1+2(0.9)+2(0.9)^2+2(0.9)^3...
b. Find S(n) in for the series in the set given in a.
c. How long does it take for the ball to come to rest?
Sorry for all the questions. There are four and the last one has three sub-problems. I really appreciate all the help!
Click here to see answer by solver91311(17077) |
Question 386743: you are training for a triathlon. In your training routine each week, you bike 5 times as far as run and run 4 times as far as you swim. one week you trained a total of 200 miles. how many miles did you swim that week?
Click here to see answer by mananth(12270)  |
Question 387127: write an algebraic expression that represents Sn for each expression and find the ninth term of each sequence:
1.) {12,6,3,1.5,..}
2.) {1/2,1/3,1/4,1/5,..}
3.) {1,-2,3,-4,..}
Click here to see answer by richard1234(5390) |
Question 388210: I am supposed to add a sequence of numbers starting with one and going to number thirty. I have added them together and I got 465 as an answer. They want me to write a formula showing this. I don't know what to do next. I think it is something like 1+2+3...=30. but I am not sure.
Click here to see answer by robertb(4012)  |
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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
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