Sum 1-6

Find the sum of the geometric progression 3, 15, 75,… to six terms.

Correct result:

s6 =  11718

Solution:

a1=3 a2=15  r=a2/a1=15/3=5  s6=a1⋅ r6−1r−1=3⋅ 56−15−1=11718   Verifying Solution:  a3=75 a4=r⋅ a3=5⋅ 75=375 a5=r⋅ a4=5⋅ 375=1875 a6=r⋅ a5=5⋅ 1875=9375  S6=a1+a2+a3+a4+a5+a6=3+15+75+375+1875+9375=11718

Try another example


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




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

Next similar math problems:

  • Missing term 2
    seq What is the missing term for the Geometric Progression (GP) 3, 15, 75,__, 1875?
  • Six terms
    sequence_geo_3 Find the first six terms of the sequence a1 = -3, an = 2 * an-1
  • Sum of GP members
    exponentialFexsDecay Determine the sum of the GP 30, 6, 1.2, to 5 terms. What is the sum of all terms (to infinity)?
  • GP - three members
    progression_ao The second and third of a geometric progression are 24 and 12(c+1) respectively, given that the sum of the first three terms of progression is 76 determine value of c
  • Find the sum
    arithmet_seq_2 Find the sum of all natural numbers from 1 and 100, which are divisible by 2 or 5
  • Find the 21
    seq_sum Find the sum of the six terms of the finite geometric sequence 96, -48, 24, -12
  • The sum 6
    plusminus The sum of the 17 different natural numbers is 153. Determine the sum of the two largest ones.
  • The sum
    eq1 The sum of five consecutive odd numbers is 75. Find out the sum of the second and fourth of them.
  • Three members GP
    exp_growth The sum of three numbers in GP (geometric progression) is 21 and the sum of their squares is 189. Find the numbers.
  • To improper fraction
    fractal_15 Change mixed number to improper fraction a) 1 2/15 b) -2 15/17
  • Five element
    sequence_geo The geometric sequence is given by quotient q = 1/2 and the sum of the first six members S6 = 63. Find the fifth element a5.
  • AS sequence
    AP In an arithmetic sequence is given the difference d = -3 and a71 = 455. a) Determine the value of a62 b) Determine the sum of 71 members.
  • 6 terms
    arithmet_seq Find the first six terms of the sequence. a1 = 7, an = an-1 + 6
  • Sum of odd numbers
    seq_sum Find the sum of all odd integers from 13 to 781.
  • Geometric progressiob
    eq2 If the sum of four consective terms of geometric progression is 80 and arithmetic mean of second and fourth term is 30 then find terms?
  • Sum of series
    question Determine the 6-th member and the sum of a geometric series: 5-4/1+16/5-64/25+256/125-1024/625+....
  • Cakes
    buhty_1 1/3 poppy cake, 1/3 apple, 15 pieces of cheese. How many are totally cakes?