Sums of Geometric Sequences - Page 4
Questions
- What is the sum of #1, 4, 16, 64, ..., a_10#?
- How do you find the sum of #4(3/2)^(i-1)# from i=0 to 6?
- What is the sum of #5, 10, 20, 40,..., a_12#?
- How do you find the sum of the first 8 terms of the geometric series 10 + 15 + 22.5 + ...?
- What is the sum of the geometric sequence 4, 12, 36 … if there are 9 terms?
- How do you find the first five terms of the given sequence?
- If S be the sum,P be the product and R the sum of reciprocals of n terms in a G.P,prove that #P^2=(frac{S}R)^n#?
- What is the sum of an 8-term geometric sequence if the first term is 10 and the last term is 781,250?
- What is the sum of a 6-term geometric sequence if the first term is 11, the last term is –11,264 and the common ratio is –4?
- How do you find the nth term of the geometric sequence given a3=9 r=-1/2 and n=7 ?
- How do you determine the sum of 2 + 8 + 32 + ... + 131 072?
- What is the sum of the geometric sequence 8, –16, 32 … if there are 15 terms?
- The first three terms of a geometric progression are 6+n,10+n, and 15+n.find (I)the value of n? (II)the common ratio? (III)the sum of the first 6 terms of the sequence?
- How do you find the sum of the following infinite geometric series, if it exists 3 + 9 + 27 + 54 +…?
- How do you find S11 for the geometric series 1 + 3 + 9 + 27 +…?
- The sum of 100 terms of the series 0.9+0.09+0.009+.... will be?
- How do you find S20 for the geometric series 4 + 12 + 36 + 108 + …?
- How do you find the sum of the first 10 terms of #1+9+81+729+...#?
- How do you find the sum of the first 5 terms of the geometric series: 4+ 16 + 64…?
- The sum of the first nth term of a geometric series is 145 and the sum of the reciprocal is 145/33. The first term is 1. What is n and the common ratio?