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+....

Result

a6 =  -1.64
SUM =  2.78

Solution:

Solution in text a__6 =
Solution in text SUM =







Leave us a comment of this math problem and its solution (i.e. if it is still somewhat unclear...):

Showing 0 comments:
1st comment
Be the first to comment!
avatar




To solve this verbal math problem are needed these knowledge from mathematics:

Need help calculate sum, simplify or multiply fractions? Try our fraction calculator.

Next similar math problems:

  1. Hot air balloon
    balon Hot air balloon ascends 25 meters up for a minute after launch. Every minute ascends 75 percent of the height which climbed in the previous minute. a) how many meters ascends six minutes after takeoff? b) what is the overall height 10 minutes after launch
  2. Series and sequences
    seq_sum Find a fraction equivalent to the recurring decimal? 0.435643564356
  3. Geometric sequence 4
    Koch_Snowflake_Triangles It is given geometric sequence a3 = 7 and a12 = 3. Calculate s23 (= sum of the first 23 members of the sequence).
  4. Geometric progression 2
    exp_x There is geometric sequence with a1=5.7 and quotient q=-2.5. Calculate a17.
  5. Six terms
    sequence_geo_3 Find the first six terms of the sequence a1 = -3, an = 2 * an-1
  6. Piano
    piano If Suzan practicing 10 minutes at Monday; every other day she wants to practice 2 times as much as the previous day, how many hours and minutes will have to practice on Friday?
  7. Geometric progression
    fractal Fill 4 numbers between 4 and -12500 to form geometric progression.
  8. Geometric progression 4
    square_rot_1 8,4√2,4,2√2
  9. A perineum
    sequence_geo_9 A perineum string is 10% shorter than its original string. The first string is 24, what is the 9th string or term?
  10. Sequence
    mandlebrot Find the common ratio of the sequence -3, -1.5, -0.75, -0.375, -0.1875. Ratio write as decimal number rounded to tenth.
  11. Classroom 4
    skola_1 In a class of 36 pupils, 2/3 are girls. How much it is in a class girls and boys?
  12. Theorem prove
    thales_1 We want to prove the sentence: If the natural number n is divisible by six, then n is divisible by three. From what assumption we started?
  13. Pie
    pie_1 Vili ate three pieces of pie . If it piece is 1/8 how much pie did he eat?
  14. Write 3
    plusminus Write a real world problem involving the multiplication of a fraction and a whole number with a product that is between 8 and 10 then solve the problem
  15. Watching TV
    tv2_1 One evening 2/3 students watch TV. Of those students, 3/8 watched a reality show. Of the students that watched the show, 1/4 of them recorded it. What fraction of the students watched and recorded reality tv.
  16. Farmers 2
    tomato On Wednesday the farmers at the Grant Farm picked 2 barrels of tomatoes. Thursday, the farmers picked 1/2 as many tomatoes as on Wednesday. How many barrels of tomatoes did the farmers pick on Thursday?
  17. Fractions 3
    fractions_9 Calculate 1/9 of 27: