1. Math

    1.(A)(i)Show that 2+4+6+8+..+2n=n(n+1). (ii)Find the sum of the first 200 even numbers. (iii)Find the sum of the first 200 odd numbers. (B)(i)Use the formula at the beginning of the question to find the sum of the first 2n natural numbers. (ii)Find a
  2. math

    A lends Rs.2,500 to B and a certain sum to C at the same time at 7% p.a. simple interest. If after 4 years, A altogether receives Rs.1,120 as interest from B and C, then the sum lent to C is:
  3. Math

    The sixth term of an arithmetic progression is 265 and the sum of the first 5 terms is 1445. Find the minimum value of n so that the sum of the first n terms is negative.
  4. math

    The difference between the simple interest and compound interest on a certain sum for 2 years at the rate of 5% per annum is rupees 205.find the sum.
  5. calculus

    Another problem: determine whether the series is convergent if so find sum it is the sum from k=1 to infinity of ((-1)^k)/(3^(k+1)) i found this series to be geometric where a=-1/9 and r=1/3 my answer was converges to 1/6
  6. maths

    The sum of the first n terms of an exponential series is 364. The sum of their reciprocal is 364/243. If the first term is 1,find n and the common ratio.
  7. Math

    A series of 288 consecutive odd integers has a non-zero sum that is a perfect fourth power. Find the smallest possible sum for this series.
  8. math

    the sum of the first four terms of a geometry series is 15 and the sum of the next 4 terms is 240.determine the positive constant ratio.
  9. Mathematics

    The sum of the 1st and 2nd terms of an AP is 4 and the 10th term is 19. Find the sum of the 5th and 6th terms
  10. Math

    Use the distributive property of multiplication over addition to rewrite the sum as a product of two factors, where one of the factors is a sum. 20^a^2 - 16a - 8
  11. math

    buy two coats for the sum of $77 the product of the purchase is $1440 what is the cost of each coat both the sum and the product must be involved
  12. Math

    A sum of money is divided between three people in the ratio 1:2:1/2. If the smallest share amounts to $48, what is the total Sum of money?
  13. calculus

    Determine whether the series is convergent o divergent and say what test you used to solve it. (d) sum n=1 to infinity (5n)^(3n) / (5^n + 3)^n (e) sum k=1 to infinity 5 / sqr(2k - 1)
  14. math

    The sum of the first 20 terms of an arithmetic series is identical to the sum of the first 22 terms. If the common difference is -2, find the first term.
  15. Math - Please Help

    Find two positive fractions such that if we switch the denominators, the sum afterthe switch is 50 times the original sum.
  16. Mathematics

    If the sum of 3th and 8th terms of an A.p is 7 and the sum of 7th and 14th term is -3,find the 10th term .
  17. Math

    What is the common difference of an arithmetic sequence if the sum of the second and fourth terms is 0, and the sum of the sixth and eighth terms is 12?
  18. math

    5. In a geometric sequence, the sum of the first five terms is 44 and the sum of the next five terms is -11/8. Find the common ratio and first term of the series.
  19. Maths

    Difference between the compound interest and the simple interest on a certain sum for 2 years at 6% per annum is rupees 90 .find the sum
  20. sequences and series

    how do i solve the sum of the first two terms of an arithmetic sequence is 16. the sum of the second and third term is 28. determine the first three terms, algebraically
  21. math

    Two non-negative numbers are chosen such that their sum is 30. Find the numbers if the sum of their squares is to be a maximum. Explanation to solve this would help !
  22. math

    find two fractions with a sum that is greater than 1.6 but less than 1.9. write your fractions in simplest form and compute their exact sum.
  23. math

    The second term of a GP is 81 and the fourth term is 9. Find, (i) the common ratio, (ii) the sum of the first terms, (iii) the sum to infinity.
  24. Mathematics

    Ashley claims that the sum of four multiples of 6 will be a multiple of 12. Is Ashley's conjecture reasonable? If not provide a counter-example. Prove that the perimeter will be even for any rectangle with natural number side lengths.
  25. Math ( Number Theory )

    How many numbers from 1 to 1000 inclusive can be expressed as the sum of k >= 2 consecutive positive integers for some value of k ? Sorry to post question from Brilliant, I got 997 integers, but it's wrong. If you think you can answer ...
  26. essay

    Ms Sue would you please read my essay and see what you think and feel free do change anything that you want.Here is my essay: What's the real reason why oil and gas prices keep going up? Is due to the less output of oil and gas by the Arab Country and oil
  27. Algebra

    I just need help with the number game part. I can't think of any kinds of games to come up with? Take any number (except for 1). Square that number and then subtract one. Divide by one less than your original number. Now subtract your original number. Did
  28. arithmetic

    the sum of irst and the fourthterm of a linear squence is10 and the sum of its thired and seventh term is 20.find the common difference and the first term
  29. Geometric progression

    sum of 4 terms of g p is 30 & sum of first and last term is 18 . Find gp a(r^4-1)/(r-1) = 30 a + ar^3 = 18 a(1+r^3) = 18 it's easy to see that if a=2, r=2 Does that work on S4? 2*15/1 = 30. Yes So, the GP is 2,4,8,16,... But sir I want not logic proof ,
  30. math

    determine the difference between the sum of the infinite geometric series 18-6+2-2/3...and the sum of the first 6 terms of the series (round to 3 decimal places) first i did S=18/ (1+1/3)= 13 1/2 Sn= 18(1+(1/3)^6) _____________ 1 + 1/3 = 13 14/27 13 1/2 -
  31. Calculus

    Evaluate each telescoping sum: 1) Sum from i = 1 to 100 of (5^i - 5^(i-1)). I know that I could apply the (n(n+1))/2 summation rule to the 5^i part of the question and then plug in 100, but I am unsure what to do for the second half --> -5^(i-1)! Thank
  32. Mathematics

    A sum of money is to be divided among A,Band C in the ratio 2:3:5.The smallest share amounts to $600.Calculate the total sum of money to be shared.
  33. Math

    sum of money borrowed at a particular rate of interest amounts of Rs 8320 in 2years and Rs 9685 in 3 and half years.Find the sum borrowed
  34. math

    The sum of the first 10 terms of an arithmetic series is 145 and the sum of its fourth and ninth term is five times the third the..determine the first term and constant difference
  35. maths

    A sum of money borrowed at a particular rate of interest amounts of Rs 8320 in 2years and Rs 9685 in 3 and half years.Find the sum borrowed.
  36. Algebra/Number Theory

    Consider the set of all functions f:ℚ→ℚ such that f(x+f(y))=f(x+y)+f(y) ∀x,y ∈ ℚ. Find the sum of all possible (distinct) values of f(99).
  37. calculus

    determine whether the series is convergent if so find sum: the sum of x=3 to infinity of (k+1)^2/((x-1)(x-2)) is it infinity meaning it diverges?
  38. maths

    the sum of 3rd and 5th terms of an a.p is 38 and sum of 7th and 10th terms of an a.p is 83,find the a.p. please help all questions please help please.
  39. Calculus 2

    Use the formula for the sum of a geometric series to find the sum or state that the series diverges. (4/9)^n starting at n=-4
  40. math

    Find the expected value, u, for the sum of two fair dice. The probability distribution for the sum of two dice is given in the table. u = 1 2=1/36, 3=2/36, 4=3/36, 5=4/36, 6=5/36, 7=6/36, 8=5/36, 9=4/36, 10=3/36, 11=2/36, 12=1/36
  41. math(geometric series)

    the sum of first 20 terms of a G.P is 244 times the sum of its first 10 terms. the common ration is ?
  42. calculus

    true of false if the sum of asubn from n=1 to infinity converges, and if a is not equal to 0, the the sum of 1/(a sub n) as n goes from 1 to infinity diverges.
  43. math

    Find the expected value, ì, for the sum of two fair dice. The probability distribution for the sum of two dice is given in the table. ì = 1 2=1/36, 3=2/36, 4=3/36, 5=4/36, 6=5/36, 7=6/36, 8=5/36, 9=4/36, 10=3/36, 11=2/36, 12=1/36
  44. Math!

    Find the sum of the seix even multiples of 18 starting from 36 six* Sum= 18 (2 + 4 + 6 + 8 + 10 + 12)= =18*2(1 +2 + 3 + 4 + 5 + 6) =36(21)= 36*20 + 36 = 720 + 36= 756 check my math.
  45. C++

    1. while(c <= 5) { product *= c; c++; 2. while ( z > 0 ) sum = sum + z; 3. x = 1; while (x <=10 ); x++; } 4. The following code should print the values 1 to 10 n = 1; while ( n < 10 ) cout < n++ < endl; 5. While (x <=100) total = total
  46. math

    An arithmetic series is such that the 10th term is 40 and the sum of the first 10 terms is 265. Find the sum of the first 20 terms.
  47. A.P

    The sum of 16th term is 240,the sum of the next four terms is 220.Find the first term and the common difference.
  48. calculus

    true of false if the sum of asubn from n=1 to infinity converges, and if a is not equal to 0, the the sum of 1/(a sub n) as n goes from 1 to infinity diverges.
  49. Geometric progression

    First term and the sum of an infinite G.P. are 2 and 3 respectively. find the common ratio and sum upto n term.
  50. Maths

    The difference between the compound interest and simple interest on a certain sum for 2 years at 6 % per annum is rs. 90. Find the sum.
  51. Maths

    The Ratio Of The 2nd Term To The 7th Term Of An A.P Is 1:3 And Their Sum Is 20.Calculate The Sum Of The 1st Terms Of The G.P
  52. 7th grade math

    when x is nonzero integer the sum 0f 3+x is sometimes negative and sometimes positive. Identify a value of x for which the sum of 3+x is negative.
  53. Mathematics

    The sum of the geometric progression a,ar,ar^2,ar^n-1 is S the product of these n term s is P. Find R,the sum of the reciprocals of these n term s and show that (S/R)^n=P^2
  54. math-G.P and A.P

    A) which down the first G.P 5+10+20+.....to exceed 400000? B) in an A.P,the sum of the first five term is 30, and the third term is equal to the sum of the first two. Write the first five terms of the progression.
  55. Maths

    When the first n positive integers are added together, their sum is given by 1/2n(n+1) Find the value of n for which the sum is 105.. Can you show me a step by step please?
  56. Math

    Nine consecutive odd whole numbers sum to 243. Find the sum if the first and last whole numbers in this nine-addend ser.
  57. math

    the square of the sum of two consecutive positive even integer is greater than the sum of their square by 48. Find two integers.
  58. MATH

    Which two different even numbers (less than 10) have the sum of 12? (whose sum is 12)
  59. Statistics (Box Method)

    I have two questions where I keep getting the last parts (question #1 [e], question #2 [f]) wrong. I have all the other answers right so I'm not sure what I am doing wrong with these two. I went ahead and wrote all the parts down as well as the answers and
  60. maths(urgent answer pls)

    1).Find the sum of the n terms of the series Sn=1^2 + 3^2 +5^2+...+(2n-1)^2 2).Find the sum to n terms of 1/(1.2.3) + 3/(2.3.4) + 5/(3.4.5) + 7/(4.5.6) +.... 3) Sum to n terms,the series 1.3.5 + 2.4.6 + 3.5.7 +.
  61. AP Statistics

    Italian gamblers used to bet on the total number of dots rolled on three six-sided dice. They believed the chance of rolling a nine ought to equal the chance of rolling a total of 10 since there were an equal number of different ways to get each sum.
  62. Algebra

    Is the square root of 362-a real number, irrational number, rational number, integer, whole number and or counting number?
  63. math

    could someone please help me with this problem. Which of the following phrases does not describe the number -¾? (Points : 1) rational number irrational number real number negative number
  64. Math

    I have more i don't understand?? Use the distributive property of multiplication over addition to rewrite the sum as a product of two factors, where one of the factors is a sum. 14) 6yz - 54y A) 6y(z - 9) B) 6y(z - 54) C) 6y(z + 9) D) 9y(z - 6) explain
  65. college-Intermediate Microeconomics

    The Lump Sum Principle In the 1980s Margaret Thatcher was the British Prime Minister. She was very popular and e ective until she pushed for the idea of a so called lump-sum tax. The lump-sum tax is one in which every citizen pays a single xed payment.
  66. math

    True or False? 1. The product of 2 linear polynomials is quadratic 2. The sum of two cubic polynomials cannot have a degree greater than 3. 3. The sum of two cubic polynomials may have a degree less than 3. 4. The sum of a cubic and a quartic polynomial
  67. Math

    The sum of the weights of a dog and cat is 27 pounds. The dog weights an odd number of pounds. Each animal's weight is counting number. If he weights twice as much as she does, what are the weights of the dog and the cat?
  68. math

    The sum of two numbers is 25. Twelve less than four times one of the numbers is 16 more than twice the other number. Find both numbers.
  69. math

    The larger of two numbers is 7 less than twice the smaller number. The sum of the two numbers is 44. Find the two numbers
  70. Chemistry

    This is a three part problem I need help in figuring out pleaseI n each of the questions below you are going to determine a different type of balanced equation for the same reaction. Make sure your equations have the lowest whole number coefficients
  71. Chemistry

    This is a three part problem I need help in figuring out pleaseI n each of the questions below you are going to determine a different type of balanced equation for the same reaction. Make sure your equations have the lowest whole number coefficients
  72. dma 040

    Sports competition, France won more medals than Italy who won more medals than Korea. The total number of medals won by three countries is three consecutive integers who sum is 37, find the number of medals won by each France Italy Korea
  73. Math

    In a class of 100 students, 40 offer Biology and 10 offer Chemistry and Biology .10 offer Physics and Chemistry , and 30 offer Physic and Biology . Each student offer at least one of the three subjects. The number of students who offer Biology is equal to
  74. physics-force

    A uniform ladder is 10 cm long and weights 400 N. It rests with ists upper end against a frictionless vertical wall. Its lower end rests on the ground and is prevented from slipping by a peg driven into the ground. The ladder makes a 30 degrees angle with
  75. MATH

    the fist term of a geometric series is 1, the nth term is 128 and the sum of the n term is 225. Find the common ratio and the number of terms?
  76. Re: Finance

    Thanks, Economyst. What formula did you use to calculate 17.53117? I found a formula that I thought would work to get that sum, but I got a different number. The formula is: 1 - 1.1^(-10)/ 0.1 and also: (40000* 163)/17.53 = $371933 is the answer?
  77. Math.... again......!!!!!!...

    A fraction is equivelant to 4/5. The sum of the numerator and the denominator of the fractionis 36. What is the fraction? The fraction is 4x/5x where x is a number. You have that 4x + 5x=36, so solve for x, then you have what 4*x is and 5*x. The answer for
  78. Kaputian central elementary school

    My math book is in my locker. All the digits in my locker are odd numbers and their sum is 11. There are 120 lockers. What is my locker number?
  79. PRE CAL SEQUENCES

    Given the following finite sum 1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+....+1/(n(n+1)) a) Find the first 5 partial sums b) Make a conjecture for a formula for the sum of the first n terms c) Use mathematical induction to prove your formula
  80. sir steve reiny plz maths

    Suppose you have 5 real numbers whose sum of squares is equal to 5. What is the maximum value of the sum of cubes of these 5 numbers? Please show step
  81. calculus

    Determine whether the sum from n=1 to infinity of arctan(2n^2/(25n+1)) converges or diverges. If it converges, what is the sum?
  82. Geometry

    In an equilateral triangle, what is the difference between the sum of the exterior angles and the sum of the interior angles?
  83. algebra

    The sum of two numbers is 56. The sum of the smaller and 5 times the larger is 192. Find the numbers.
  84. GREATER TOMMOROW

    THE SUM OF THE FIRST TWO TERM OF A GP IS 6 AND THE SUM OF THE 5TH AND 8TH TERM IS 288. SOLVE
  85. math

    how to explain to my son write doubles fact you can use to find the sum.Write the sum 2+3=
  86. Math

    Use the product-to-sum formulas to write the product as a sum or difference. sin(x+y) * cos(x-y)
  87. math

    If the sum of first four terms of GP is 30, sum of last four terms of GP is 960 and first term is 2 then find common ratio.
  88. math

    A pair of dice is rolled. Is the event of rolling a sum of 2, 4, 6, or 8 independent from rolling a sum of 3, 5, 7, or 9?
  89. math

    The sum of first 12 terms of an arithmetic series is 186, and the 20th term is 83. What is the sum of first 40 terms?
  90. maths

    The first term of a g.p is twice it's common ratio, find the sum of the first two term of the progression, if it's sum to infinity is 8
  91. Algebra

    I have one question I really need help with. I know the partial sum process but my numbers don't seem to come out to what I think it should be. Find the partial sum S6 1. An=3n+2
  92. arithmetic

    find the common difference of A.P whose first term is 5 and the sum of its first 4 terms is half the sum of next 4 terms
  93. algebra1

    find each sum,difference,or product. If the sum or difference does not exist, write impossible. if A=[5 2 -7 B=[2 9 -3 C=[-4 2 D=[37 22 -1 0 13 12 4 7 9 7 -5 12 3 8 6] -6 -2 5] 15 33] 11 0] 1.A+B 2.B+C 3.C+D 4.D-B 5.A-B 6.D-C 7.2D 8.4B 9.-3A 10.3C
  94. Math Please Help

    Which statement is not true? Two or angles that are supplementary have a sum of 180 or Two angles that are complementary have a sum ot 45
  95. math

    two thirds of a sum of money is two euro and twenty four cent.What is one quarter of the sum of money?
  96. mathe

    the sum of the first 16th terms of an a.p is 240 and the sum of the next 4 terms is 220,find the first term
  97. math

    Ok here is the problem: A hostess said to Mrs. Raines " I have three sons, the product of there ages is 72, the sum of there ages is my house number." ( it desnt give the house number.) Then it says that mrs. Raines needed more info. THe hostess then told
  98. Math

    5. How would you change this sentence to a true statement? b. Every irrational number is a rational number. c. Every irrational number is a real number. •• d. Every irrational number is a whole number. e. Every irrational number is a perfect square.
  99. Calc II

    Use the comparison or limit comparison test to decide if the following series converge. Series from n=1 to infinity of (4-sin n) / ((n^2)+1) and the series from n=1 to infinity of (4-sin n) / ((2^n) +1). For each series which converges, give an
  100. Maths

    3 boys, Aaron, Benny and Charles, share a sum of money. Aaron receives 40% of the sum of money. Benny receives 3 times as much as Charles and $29 more than Aaron. a.) What percentage of the sum of money does Charles get? b.) What is the total sum of money