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

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Question 114715: Write the equation of the line that passes through point (6,4) with a slope of 2.
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Question 120007: How do I find all of the possibilities to combine 56 numbers, when I can only use six at a time? (I.E. 56,55,54,53,52,51 and 1,2,3,4,5,6)
Thanks much : )

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Question 120037: Find the general term of a sequence whose first four terms are given.
28.)
2, -1,-4,-7,…

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Question 120065:
A bank pays 4% interest on deposits. If you deposit $1,000 how much will be in your account at the ned of six years?
Solve using a geometeric or arithmetic formula for squence or series.

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Question 120064: A bank pays 4% interest on deposits. If you deposit $1,000 how much will be in your account at the ned of six years?
Solve using a geometeric or arithmetic formula for squence or series.

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Question 120067: One minute after it is released, a hot air balloon rose 80 feet. In each succeeding minute the balloon rose only 60% as far as it rose in the previous minute. How far will the balloon rise in 6 minutes?
Solve using a geometeric or arithmetic formula for squence or series.

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Question 120479: Find a counterexample to show that the following statement is incorrect:
“The sum of any two odd numbers is divisible by 4”

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Question 120479: Find a counterexample to show that the following statement is incorrect:
“The sum of any two odd numbers is divisible by 4”

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Question 121638: State whether each sequence is a geometric sequence. If so, state the common ratio and list the next three terms.
-5, 1, -1/5, 1/25,....

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Question 121852: State whether sequence is a geometric sequence. If so, state the common ration and list the next three terms.
-8, 16, -32, 64

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Question 121855: State whether sequence is a geometric sequence. If so, state the common ration and list the next three terms.
-1/4, -1/2, -1, -2

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Question 121853: State whether sequence is a geometric sequence. If so, state the common ration and list the next three terms.
25, 5, 1, 1/5

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Question 121850: State whether sequence is a geometric sequence. If so, state the common ration and list the next three terms.
-14, 7, -1, -1/7

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Question 122229: write an equation for: 4 consecutive numbers, the sum of the first 3 numbers is equal to 54 more than the 4th number
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Question 122446This question is from textbook
: i dont understand the recursive formula? please explain
This question is from textbook

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Question 123318: Transpose V = 2R/R-r so that r is the subject
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Question 123372: Please put in correct sequence starting from larger number ending in the smaller number:
I said it was in this order:Is this correct:
1) 0.401
2) 0.4013
3) 0.4030
4) 0.4031
5) 0.40101
6) 0.40303

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Question 123680: I have worked out the answer to the question but cannot explain the logic to my 9 year old son. His teacher has explained how to do it. Can you please help. The sum of two numbers is 147. The difference between the two numbers is 43. What are the two numbers.
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Question 123866: If the average (arithmetic mean) of 5 consecutive integers is 12, what is the sum of the least and greatest of the 5 integers?
5 numbers (x1,x2, x3, x4, x5)=60
x=

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Question 124994:
the sum of two numbers is 20 and the sum of their square is 208. find these numbers

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Question 124995: find two consecutive numbers whose product is 72
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Question 124996: find two numbers consecutive pairs whose product is 80
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Question 125006: find two consecutive numbers whose product is 72
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Question 125006: find two consecutive numbers whose product is 72
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Question 126386: Tori and Peyton played a number quessing game. Tori thought of 2 numbers and said, " The sumof the numbers is 43 and the difference of the numbers is 9." What 2 numbers was Tori thinking of?
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Question 126680: determine the common ratio of a geometric sequence whose first term is 2 and whose fourth term is 16?

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Question 127233: The sum of the first six terms of an A.P is 72 and the second term is seven times the fifth term. Form two equations in a' and d' and solve them to find the first term and the common diffrence. Thanks and pls help!
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Question 127358This question is from textbook
: I need help writing a binomial expansion for this expression...
(m+n^2)^4
Thank you in advance to anyone that can help me.
This question is from textbook

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Question 127622This question is from textbook college algebra with trigonometry
: Write the first seven terms of each sequence:
a1=1 , a2=-1 , an=an-2-an-1 , n is greater/equal to 3
This question is from textbook college algebra with trigonometry

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Question 127843: find the value of y in Y+8, 4y+6, 3y to make this an arithmetic sequence












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Question 127883This question is from textbook College Algebra with Trigonometry
: First the problem explains the how series in caculus can be shown by the sigma sign form (such as on the main page of the series section on this site)
The problem is : Approximate e^-.5 using the first five terms of the series. Compare this approximation with your caculator evaluation of e^-.5
This question is from textbook College Algebra with Trigonometry

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Question 128932: Please help me solve this problem:
How far up and down will a ball travel before stopping if it is dropped from a height of 12m, and each rebound is 1/3 of the previous distance?
Thank you.

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Question 129014: A real estate agency wishes to double the size of its ad area in a telephone
directory by adding the same amount of length and width of the current ad.
The current ad is 4 cm wide by 6 cm long. What will be the dimensions of the new
ad.

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Question 129011: find two consective integers whose product is 80
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Question 129048: find the value of x in 2x-15=2x+15
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Question 102306: 4x-6>14
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Question 130509: If the first and third of three consecutive odd integers are added, the result is 75 less that five times the second integer. Find the third integer.
A)23 B)27 C)25 D)50

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Question 130910: Find the value for n for which the sum 1+3+9+...to n terms is 364
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Question 130909: Find three numbers in a GP whose sum is 26 and and product is 216
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Question 130995: A pile of logs has 24 in the fist layer,23 in the second layer,22 in the third layer,and so on. How many logs are there in 10 layers?
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Question 130912: Find the sum of the infinite series. If the series does not have a sum write "no sum". The series is:
9 - 3 + 1 - 1/3 + 1/9. . .
I am not sure where I got n/3 from but seem to think it has something to do with solving this.
Thanks so much for your help

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Question 131211: Two numbers have a product of 80. Their sum is 21. What are the numbers?
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Question 131275: Good Morning, I would like some help in solving the following problem:
Find the tenth term of the sequence 5, -25, 125, -625. Thank you in advance for your help.
Denise

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Question 131603: Good Evening, I could use a little help with how to solve for a and b. Please help with the following problem:
Suppose you are offered two jobs. One pays $30,000 the first year with annual raises of $2000 each year. The second offers a starting salary of $27,000 and raises 8% each year. At the end of ten years, what would your yearly salary be from (a) first job? (b) second job?
Thank you so very much
Denise

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Question 131653: the sum of two numbers having a ratio of 1 to 3 is 32. if x equals the smaller number, the larger one would equal?
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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