# 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 Solvers Lessons Answers archive Quiz In Depth

 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)

 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)

 Question 387635: lim cosx - cos3x /x^2 x-o lim 1-cos4x /xsin2x x-o Click here to see answer by richard1234(5390)

 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)

 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)

 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)

 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)

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

 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)
 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)

 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)
 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)

 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)

 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)

 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)

 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)

 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)
 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)

 Question 389814: Evaluate the limit of (+...+)/n as n goes to positive infinity (takes positive integer values.) Click here to see answer by richard1234(5390)

 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)

 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)

 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)

 Question 390406: a of n =? the pattern is -2/3, 3/4, -4/5, 5/6 Click here to see answer by robertb(4012)

 Question 390526: what is the SUM OF A GEOMETRIC SERIES? Click here to see answer by Edwin McCravy(8908)

 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)

 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)

 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)

 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)

 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)

 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)

 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)

 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)

 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)

 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)

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

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

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