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

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Question 206579: A sequence of numbers is constructed by adding the previous two numbers of the sequence together. If the first two numbers are 1 and 3, the eighth number in the sequence is
(A) 29 (B) 30 (C) 46 (D) 47 (E) 76
Click here to see answer by rfer(2688)

Question 206718This question is from textbook algebra and trigonometry structure and method book 2

: Find the sum of the first 20 terms of the series
1 + 8 + 64 + 512 + ...
Please help, I guess I am just unsure of the formula I should use for this...thanks
This question is from textbook algebra and trigonometry structure and method book 2

Click here to see answer by vleith(1977)

Question 206743: On the first day Juanita receives 1 dollar. On each succeeding day, she receives 1 dollar more than the total received in all preceding days. On which day will she first receive an amount greater than one hundred dollars?
(A) 6th day (B) 7th day (C) 8th day (D) 9th day (E) 10th day
Click here to see answer by stanbon(26276)

Question 206862: A sequence is formed in the following way: The first two numbers of the sequence are 1 and 3. Each subsequent number is the sum of the previous two members of the sequence. What is the third even number of the sequence?
(A) 18 (B) 34 (C) 76 (D) 144 (E) 322
Click here to see answer by rfer(2688)

Question 206863: How many ways can the numbers 1, 2, 3, 4 and 5 be placed in a line so that neither 1 nor 5 occupy either the first or the last place in the sequence?
(A) 6 (B) 24 (C) 36 (D) 54 (E) 72
Click here to see answer by Edwin McCravy(2922)

Question 206922: a= gm solve for g=
Click here to see answer by Alan3354(6088)

Question 207023: Hi, I was wondering if you can help me with the following problem.
I need to write the following series using the summation notation:
3-6+12-24+48-96
I can tell that you get the next number in the series by multiplying the previous one by -2.... but I don't know where to go from there.
Please help.
Thank You
Click here to see answer by jim_thompson5910(13794)

Question 207221: How many times on a digital clock in a 24hr span will the same digit appear at least 3 times in a row?
Click here to see answer by rfer(2688)

Question 207221: How many times on a digital clock in a 24hr span will the same digit appear at least 3 times in a row?
Click here to see answer by MathTherapy(336)

Question 207631: -3,-1,
What Is The Next Two Terms

Click here to see answer by rfer(2688)

Question 207755: hey,the question is_
if a sequence follows the same patterns as a, ar, ar^2... and t4=8 and t7=1
find a, r, and t10
Click here to see answer by stanbon(26276)

Question 207759: URGENT QUESTION...
in the following sequence of numbers a, ar, ar^2, ar^3...
a= 1st term (t1)
fina an expression in terms of a,r for
i) 8 th term (t8)
ii) 11 th term (t11)
iii) in the sequence 3,6,12..
find the value of the 15th term.
Click here to see answer by Alan3354(6088)

Question 207864: URGENT QUESTION...
the question is-
if a sequence follows the same pattern as a, ar, ar^2... and t4=8 and t7=1
find a, r, and t10
thanks
Click here to see answer by RAY100(1637)

Question 207863: URGENT QUESTION...
the question is-
if a sequence follows thesame pattern as a, ar, ar^2... and t4=8 and t7=1
find a, r, and t10
thanks
Click here to see answer by RAY100(1637)

Question 208135: Find the next two terms of the geometric sequence 50, 40, 32, …
Click here to see answer by checkley77(7055)

Question 208315This question is from textbook
: Describe a pattern in the sequence of numbers. Predict the next number:
0,1,4,9...This question is from textbook

Click here to see answer by Edwin McCravy(2922)

Question 208466: identify pattern and next number
3,5,6,10,12,20
Click here to see answer by checkley77(7055)

Question 208696: Find the 20th term of the following sequence.
-6, -4, -2, 0, ...
032
044
046

Click here to see answer by stanbon(26276)

Question 208841: A square support unit in a television is made with a side measuring 4 centerimeters. A new model being designed for the upcoming year will have a larger square with a side measuring 4.3 centimeters. By how much will the area of the square be increased?
Click here to see answer by rfer(2688)

Question 208839: The area of a circle 28 square meters. What is its circummference?
Click here to see answer by Alan3354(6088)

Question 209013: I need help figuring this out.
The area of a circle 28 square meters. What is its cicumference? (Use A=nr^2 and C=2nr to figure out the problem)
Click here to see answer by rfer(2688)

Question 209242: find the first term of the arithmetic progression whose third term a3 is 7 and
whose eighth term a8 is 17
a)0 b) 2 c)3 d)1 e) 4

Click here to see answer by stanbon(26276)

Question 209304: Add -5 to both sides of the inequality 7>1. Then divide both sides of the inequality -25> -30 by 6. Explain what happens in both examples and when the direction of the inequality symbol is reversed.
Click here to see answer by stanbon(26276)

Question 208540: find the sum of the first n terms of each arithmetic series
n=18; a1=40, d=-7
Click here to see answer by checkley77(7055)

Question 209751: Please Help.New Student.
Need Tonight For Homework Due In The Morning.
Question:
a.Write the first six terms of the sequence that starts with 1, and for which the difference between consecutive terms is first 2, and then 3,5, and 6.
b.Evaluate n squared + n /2 for n=1,2,3,4,5 and 6.Compare the sequence you get with your answer for part a.
c.Draw a diagram to represent n squared +n/2For n=5
Click here to see answer by stanbon(26276)

Question 209792This question is from textbook Elementary and Intermediate Algebra
: Please help me solve this sequence problem from Elementary and Intermediate Algebra. Write a formula for the general term of the infinite sequence.
-1,2,-4,8,16,...This question is from textbook Elementary and Intermediate Algebra

Click here to see answer by tutor_paul(424)

Question 209830: I need to know the sequence of this 1,2,6,24,120
Click here to see answer by Earlsdon(4900)

Question 209963: it says find Sn for each arithmetic series described. a1=20, an=112, d=4. how do i find it ?
Click here to see answer by stanbon(26276)

Question 210038: my question is sn=800 r=1.2 a=10 how to find n?
Click here to see answer by nyc_function(260)

Question 210252: make a conjecture in terms of Q(n)(find the nth term) for the following sequence & then find the 100th term:n= 1 2 3 4 5 6
Q= 3 12 25 42 63 88
Cannot figure out any part of this...I would really appreciate any help at this point!
Thanks!
Click here to see answer by scott8148(3382)

Question 210039: ok, complete question is
a gardener has been given the task to digging an area of 800 square meters. it is expected that he will dig 10 square meters on the first day and on each successive day he will dig 1.2 times more than the area he dug on the previous day. find the number of days the gardener will take to complete the task?
Click here to see answer by ankor@dixie-net.com(6693)

Question 210845: -1, 4, -16, 64.. what is the rule for this sequence?
Click here to see answer by josmiceli(3009)

Question 211066: Can you help me answer this problems ?
1. Find a number that is 96 greater than its opposite.
2. Find a number whose product with 9 is the same as its sum with 56.

Click here to see answer by stanbon(26276)

Question 211357This question is from textbook discovering advanced algebra

: please help me find the value of (u sub one).
u sub zero =16
u sub n=(1-0.005)u sub n-1+16
where n > or = to 1
This question is from textbook discovering advanced algebra

Click here to see answer by Theo(675)

Question 212061This question is from textbook Discovering Advanced Algebra

: 2,6,10,14....... find the 15th termThis question is from textbook Discovering Advanced Algebra

Click here to see answer by Edwin McCravy(2922)

Question 212061This question is from textbook Discovering Advanced Algebra

: 2,6,10,14....... find the 15th termThis question is from textbook Discovering Advanced Algebra

Click here to see answer by Earlsdon(4900)

Question 212504: sequence 4,7,10,....
formula 3n+1
if two numbers of the sequence are multiplied need to show proof that result is always a number in this sequence.
please give guidance
Click here to see answer by stanbon(26276)

Question 212918: The question is: Three consecutive terms of a geometric sequence have a sum of 28 and a product of 512. Find these numbers.
(Hint: let these numbers be a/r, a and ar )
I really don't understand the question, anyone kindly help me??
Thanks
Click here to see answer by josmiceli(3009)

Question 212953: c=210+c
Click here to see answer by rapaljer(3620)

Question 213568: Please help me find 2 consecutive even integers whose sum is 217. The best I got was 106.6 and 108.8 but still fall short. I have these a lot and need to know how to find these with a simple math trick or formula. (Algebra 1) Thanks
Click here to see answer by drj(1380)

Question 213500: Im really bad at math. HELP Find a5 and An for each geometric sequence. a2=-4,r=3
Click here to see answer by scott8148(3382)

Question 211895: what is the 20th term for this set of numbers? 12, 19,26, 33
Click here to see answer by drj(1380)

Question 213951: Am totally new to sequences and kinda lost on this problem. Need help for mathletes competition tomorrow
What is the 21st term of the sequence 3,6,12,24
Click here to see answer by stanbon(26276)

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