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

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

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   


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


Question 388159: 4.6m + 9.2 = 3.4m + 19.4

Click here to see answer by avani(25) About Me 

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) About Me 

Question 388342: how do you divide the binomial (6x^2-7x-5)%(3x-5)
Click here to see answer by jim_thompson5910(28593) About Me 

Question 388365: a question on the homework i have says: Let the sum of an arithmetic sequence of eight terms be represented by the letter S. If the first term is "a" and the eighth term is "a/2" express "a" as a function of S.
Click here to see answer by stanbon(57308) About Me 

Question 387635: lim cosx - cos3x /x^2
x-o
lim 1-cos4x /xsin2x
x-o

Click here to see answer by richard1234(5390) About Me 

Question 388511: what is an arithmetic sequence?
Click here to see answer by Fombitz(13828) About Me 

Question 388118: a3*a8=300 Sn=128
Click here to see answer by robertb(4012) About Me 

Question 388736: √5/√3 + √(3)/√(5) + 3/5*√(3)/√(5)+... this is limitless sequence Sn is required
Click here to see answer by Edwin McCravy(8908) About Me 

Question 386839: Two cakes, A and B, weigh 15 kg altogether. If 1/3 of cake A and 1/4 of cake B are sold, the remaining part of cake A is 1/5 kg less than the remaining part of cake B. If cake A weighs x kg, form an equation in x and solve.

Click here to see answer by robertb(4012) About Me 

Question 386742: you are training for a triathlon In your training routine each week you bike 5 times as far as and you 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 robertb(4012) About Me 

Question 386731: The sum of three number is 23 the first number is equal to twice the second number minus 7 the third number is equal to one more than the sum of the first and second numbers what is the first number

Click here to see answer by gwendolyn(128) About Me 

Question 388915: what is the difference between a geometric sequence and a algebraic seaqunce
Click here to see answer by richard1234(5390) About Me 

Question 388936: the sum of 3 terms of an arithmetic sequence is 15. the sum of their squares is 147. Find t1, t2, t3
Click here to see answer by Alan3354(30993) About Me 
Question 388936: the sum of 3 terms of an arithmetic sequence is 15. the sum of their squares is 147. Find t1, t2, t3
Click here to see answer by edjones(7569) About Me 

Question 389284: Let the function f be defined by y = f(x), where x and f(x) are real numbers.
f(x) = 4x + 10
Find the following. (Simplify your answers completely.)
f(2)= _____________
f(-3)= _____________
f(k)= _____________
f(k^2-1)= _______________

Click here to see answer by richard1234(5390) About Me 
Question 389284: Let the function f be defined by y = f(x), where x and f(x) are real numbers.
f(x) = 4x + 10
Find the following. (Simplify your answers completely.)
f(2)= _____________
f(-3)= _____________
f(k)= _____________
f(k^2-1)= _______________

Click here to see answer by ewatrrr(10682) About Me 

Question 389439: What is the 15th term of the arithmetic sequence with a1 =10 and d= -3?
Click here to see answer by ewatrrr(10682) About Me 

Question 389445: find the sum of the first five terms in the geometric series -3/2+1-2/3+...
A. 55/54
B. -55/54
C. 55/27
D. -55/27
Thank you so much!!!!
God Bless and Happy New Year!!!!

Click here to see answer by ewatrrr(10682) About Me 

Question 389451: Express the series -27+9-3+1-... using sigma notation
Thank you so much!!!!!
God Bless and Happy New Year!!!!

Click here to see answer by richard1234(5390) About Me 

Question 389732: consider the function f(x) = (x - 3)^2 + 2. Evaluate a sum to approximate the area under the curve for the domain o < or equal x < or equal 2 using the type of rectangles in each part.
a.) use inscribed rectangles 0.5 units wide
b.) Use circumscribed rectangles 0.5 units wide

Click here to see answer by richard1234(5390) About Me 

Question 389734: write a recursive formula for the sequence 15, 26, 48, 92, 180,... Then find the next term
Click here to see answer by richard1234(5390) About Me 
Question 389734: write a recursive formula for the sequence 15, 26, 48, 92, 180,... Then find the next term
Click here to see answer by Edwin McCravy(8908) About Me 

Question 389814: Evaluate the limit of
(sin%28pi%2F%283n%29%29+%2B+sin%282pi%2F%283n%29%29+%2B+sin%283pi%2F%283n%29%29+...++sin%28%28n-2%29pi%2F%283n%29%29+%2B+sin%28%28n-1%29pi%2F%283n%29%29)/n
as n goes to positive infinity (takes positive integer values.)

Click here to see answer by richard1234(5390) About Me 

Question 389861: The number 632 is a multiple number since the first digit 6 is the product of the other two digits of the number. How many three-digit multiple numbers less than 700 exist?
Click here to see answer by Edwin McCravy(8908) About Me 

Question 390318: Mr. Black's drill bit set includes the following sizes (in inches):
13/64, 7/32, 15/64, 1/4 . . .
What are the next two smaller bits?
Thank you for your help.

Click here to see answer by ankor@dixie-net.com(15649) About Me 

Question 390347: what is the next two numbers sequence of 2,3 1/2,5, 6 1/2
Click here to see answer by jerryguo41(162) About Me 

Question 390406: a of n =?
the pattern is -2/3, 3/4, -4/5, 5/6

Click here to see answer by robertb(4012) About Me 

Question 390526: what is the SUM OF A GEOMETRIC SERIES?












Click here to see answer by Edwin McCravy(8908) About Me 

Question 390811: Find the quotient if the 24th term of the sequence 1/3, 2/9, 4/27...is divided by the 26th term
Click here to see answer by richard1234(5390) About Me 

Question 390924: Domenik has a coin bank in which he saves only P1 coin and 5 coins. When the coin bank was full, he asked his father to open it for him and asked to count how much money was in it. His father told him that all in all Domenik was able to save p238 and there were 66 coins all in all. How many P1 and 5 coins where there in the coin bank?
Click here to see answer by mananth(12270) About Me 

Question 391127: In the mathematical sentence below, find values for M an N that make the sum exactly 3. Write your answer as a sum that equals 3. 5/8 +1/4+2/3+ m+n=3
Click here to see answer by solver91311(16877) About Me 

Question 391334: How would you continue the following number sequence? and Why?
100, 101, 103, 107, 115, 122, 127, ...

Click here to see answer by Alan3354(30993) About Me 

Question 391314: how do you find the avarage mean of the following data.
42 62 78 90 110 120

Click here to see answer by Alan3354(30993) About Me 

Question 391704: The table shows the cost of buying mugs. Write an equation to model the data, Explain how you arrived at you equation.
Number of mugs 1, 2, 3, 4, 5
Total cost 11, 18, 25, 32, 39
you must include both the equation and explanation in your response.

Click here to see answer by Edwin McCravy(8908) About Me 

Question 391759: if the first term of a geometric sequence is 3/2 and the second and third terms are -3/4 and 3/8, respectively, which of the following represents the nth term of the sequence?
a) 3(-1)^n-1/2n
b) 3(-1)^n/2n
c) 3(-1)^n-1/2^n
d) 3(-1)^n/2^n
e) 3(-1)^n-1/2^n+1
please provide explanation!

Click here to see answer by stanbon(57308) About Me 

Question 391969: Find the distance between points at (4,-1) and (-2,-5).
Thank you so much for all of your help!!!!!!
God Bless!!!!!!

Click here to see answer by Edwin McCravy(8908) About Me 

Question 392147: 150,30,6,.....
in the sequence above , each term after the 1st term is 1/5 of the term preceding it.what is the 5th term of this sequence ?

Click here to see answer by robertb(4012) About Me 

Question 392679: A geometric sequence has all positive terms. The sum of the first two terms is 15 and the sum of infinity is 27. Find the value of
(a) The common ratio;
(b) The first term;
Thank you :)

Click here to see answer by ewatrrr(10682) About Me 

Question 392874: what are the next two terms for 5000, 2000, 200, 40 ...
Click here to see answer by MathLover1(6627) About Me 

Question 392911: Write an algebraic expression for the following sequence 2, 4, 8, 14, 22, 32, ....
Click here to see answer by robertb(4012) About Me 

Question 392971: What is the 12th term and rule of 2,-6,18,-54,162
Click here to see answer by robertb(4012) About Me 

Question 393587: Can you please help me solve this question:
What are three consecutive even integers whose sum is -12 ?

Click here to see answer by ankor@dixie-net.com(15649) About Me 

Question 393639: Find the fraction which is equivalent to 0.015 (reoccurring)
This question is driving me nuts,please help

Click here to see answer by Alan3354(30993) About Me 

Question 393642: Use mathematical induction to prove that
1^3+2^3+3^3+....+n^3=(1+2+3+....+n)^2
Please I need your assistance

Click here to see answer by richard1234(5390) About Me 

Question 393978: I have to find the Recursive Definition for the sequence 0,3,7,12,18...
I have tried several different ways of writing the formula but none worked. The closest i got was 〖〖(A〗_(n-1))〗^2 +3.
when inputting this it worked for all A's except A_5 which gave me 19 instead of 18. :( somebody please help.
Please and thank you :)

Click here to see answer by richard1234(5390) About Me 

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