Sums of Geometric Sequences - Page 6

Questions
  • How do you find the sum of the geometric series #Sigma 1/4*2^(n-1)# n=1 to 5?
  • How do you find the sum of the geometric series #Sigma 81 (1/3)^(n-1)# n=1 to 7?
  • How do you find #S_n# for the geometric series #a_1=1296#, #a_n=1#, r=-1/6?
  • How do you find #a_1# for each geometric series #S_n=381/64#, r=1/2, n=7?
  • How do you find #a_1# for each geometric series #S_n=33#, #a_n=48#, r=-2?
  • Heavy rain caused a river to rise. The river rose three inches the first day, and each additional day it rose twice as much as the previous day. How much did the river rise in five days?
  • How do you find #S_n# for the geometric series #a_1=343#, #a_n=-1#, r=-1/7?
  • How do you find #S_n# for the geometric series #a_1=4#, r=-3, n=5?
  • How do you find #S_n# for the geometric series #a_1=5#, r=3, n=12?
  • How do you find #S_n# for the geometric series #a_1=2401#, r=-1/7, n=5?
  • How do you find #S_n# for the geometric series #a_1=162#, r=1/3, n=6?
  • How do you find #S_n# for the geometric series #a_1=80#, r=-1/2, n=7?
  • How do you find the sum of the first 14 terms of #1+4+16+64+...#?
  • How do you find the sum of #12(-1/2)^(i-1)# from i=0 to 9?
  • How do you find #S_n# for the geometric series #a_3=-36#, #a_6=-972#, #n=10#?
  • How do you find the sum of the geometric series #4096-512+64-...# to 5 terms?
  • How do you find the sum of the geometric series #7+21+63+...# to 10 terms?
  • How do you find the sum of the geometric series #1/16+1/4+1+...# to 7 terms?
  • How do you find the sum of the geometric series #1/9-1/3+1-...# to 6 terms?
  • How do you find the sum of the following infinite geometric series, if it exists. 2 + 1.5 + 1.125 + 0.8437 +…?