Sums of Geometric Sequences - Page 3

Questions
  • What is the 6th term in the sequence: 4, -8, 16, -32?
  • What is the sum of the first 7 terms of the series −8+16−32+64−... ?
  • What is #S_n# for a geometric series that has #a_1 = .11 , a_5 = 895.956875, r = 9.5#?
  • What is the seventh term of a sequence whose first term 1 and whose common ratio is 3?
  • An infinite geometric series has a sum of 20, where all the terms are positive. The sum of the first and second terms are 12.8. What is the first term?
  • In a gp tn-2:tn-5=1:8 then the common ratio is?
  • How do you find #S_n# for the geometric series #a_1=625#, r=3/5, n=5?
  • How do you find the sum of the first #13# terms of the geometric sequence: #7, 21, 63, 189, 567, . .#?
  • How do you find the sum of #(-2)^(i-1)# from i=1 to 12?
  • A sculptor is using a pattern of glass cubes to create a sculpture with 5 sections. The first section has 4 cubes, the second section has 8 cubes, and the third section has 16 cubes. If the pattern continues, how many cubes will be in the fifth section?
  • What is the sum of the arithmetic sequence 3, 9, 15…, if there are 22 terms?
  • How do you write the first five terms of the geometric sequence a1 = 8; r = 5?
  • What is the sum of a 6–term geometric series if the first term is 22 and the last term is 1,299,078?
  • What is the sum of the geometric sequence 1, –6, 36, … if there are 6 terms?
  • What is the sum of the geometric sequence 3, 15, 75, … if there are 8 terms?
  • What is the sum of a 6–term geometric series if the first term is 7 and the last term is 54,432?
  • How do you find the sum of the first six terms of the geometric sequence 1, 1.5, 2, 2.25, ...?
  • How do you find the sum of the first 40 terms of the geometric sequence 2, 8, 32, 128?
  • The first term of a geometric sequence is 4 and the multiplier, or ratio, is –2. What is the sum of the first 5 terms of the sequence?
  • What is the sum of #5, 10, 20, 40,..., a_12#?