Sum of series

Determine the 6-th member and the sum of a geometric series:

5-4/1+16/5-64/25+256/125-1024/625+....

Correct result:

a6 =  -1.64
SUM =  2.78

Solution:

 a1=51 q=45 q<1 a6=a1q61=51=51(45)5 a6=1024625=1.64
S=a11q=259=2.78



We would be pleased if you find an error in the word problem, spelling mistakes, or inaccuracies and send it to us. Thank you!






Showing 0 comments:
avatar




Tips to related online calculators
Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.

You need to know the following knowledge to solve this word math problem:

Next similar math problems:

  • Infinite decimal
    series Imagine the infinite decimal number 0.99999999 .. ... ... ... That is a decimal and her endless serie of nines. Determine how much this number is less than the number 1. Thank you in advance.
  • Decimal to fraction
    fractions_2 Write decimal number 8.638333333 as a fraction A/B in the basic form. Given decimal has infinite repeating figures.
  • Fraction
    Gauss_stamp Fraction ? write as fraction a/b, a, b is integers numerator/denominator.
  • Series and sequences
    seq_sum Find a fraction equivalent to the recurring decimal? 0.435643564356
  • Infinite sum of areas
    height-of-equilateral-triangle Above the height of the equilateral triangle ABC is constructed an equilateral triangle A1, B1, C1, of the height of the equilateral triangle built A2, B2, C2, and so on. The procedure is repeated continuously. What is the total sum of the areas of all tr
  • An airplane
    aircraft-02 An airplane flies 1440 km in 2 1/4 hours. What is its average speed in km per hour?
  • Milk crates
    milk A farmer sells milk in crates that hold 15 bottles. She has 34,125 bottles of milk. How many crates can the farmer fill?
  • Proportional relationship
    ratios2 The ordered pairs (6,24) and (1, s) represent a proportional relationship. Find the value of s.
  • An electrician
    cu_wire_1 An electrician needs 1 1/3 rolls of electrical wire to wire each room in a house. How many rooms can he wire with 6 2/3 rolls of wire?
  • Grandma
    family_1 We're going to Grandma. We still have 24 km left. How far does Grandma live if we have traveled from the total distance: half, a third, a fifth?
  • Babysitting
    babo $27.40 babysitting for 4 hours. How much would she make if she babysat for 7 hours?
  • One dice
    dice Calculate the probability of a roll of one dice with the numbers 1, 2, 3, 4, 5, 6 on the walls. Write the results in a notebook in the shape of a fraction in the basic form: 2/3. a, The number 1 falls on the cube. b, The number 5 falls on the cube. c, An
  • Gardens
    garden The area of the square garden is 3/4 of the area of the triangular garden with sides of 80 m, 50 m, 50 m. How many meters of the fence do we need to fence a square garden?
  • Borrowing bicycle
    cukriky Jakub lent a bicycle to friends who wanted to ride it. For a three-hour bike ride, Jakub received 2 chocolates. Yup. If you wanted a bike for 2 hours, you had to give Jakub 12 candies. Peter gave Jakub 1 chocolate and 3 candies. How long can Peter ride Ja
  • Two xeroxes
    xerox The performances of the two copiers are in the ratio 3: 4. A machine with higher power will make 7,200 copies in one hour. How many copies will both machines make together in 5 hours?
  • Secondary school
    skola_2 1/2 of the pupils want to study at the secondary school, 1/4 at the apprentice, 1/6 at the grammar school 3 pupils do not want to study. How many students are in the class?
  • Answers
    test After the history test, Michaella discovered that the ratio of her correct and incorrect answers is 5: 3. How many correct answers did Michaella have in the test, if she had 6 incorrect answers?