Sums of Geometric Sequences - Page 5
Questions
- How do you find the sum of the first 16 terms of #-90+30+(-10)+10/3+...#?
- How do you find S20 for the geometric series 4 + 12 + 36 + 108 + …?
- How do you find the number of terms given #s_n=820# and #1+9+81+729+...#?
- How do you find the number of terms given #s_n=3829# and #7+(-21)+63+(-189)+...#?
- How do you find the sum of the geometric series #54+36+24+16+...# to 6 terms?
- How do you find the sum of the first 18 terms of #7+(-21)+63+(-189)+...#?
- How do you find the sum of the first 10 terms of #1+9+81+729+...#?
- How do you find #a_7# for the geometric sequence #729, -243,81,...#?
- How do you use a graphing calculator to find the limit of the sequence #a_n=(1/2)^n#?
- How do you use a graphing calculator to find the limit of the sequence #a_n=2^n/(2^n+1)#?
- How do you use a graphing calculator to find the limit of the sequence #a_n=n^2/(n+1)#?
- How do you find the sum of the first 5 terms of the geometric series: 4+ 16 + 64…?
- Using geometric series, why is the polynomial #1+x+x^2+x^3# be written as #(x^4-1)/(x-1)# assuming x does not equal 1?
- How do you write the series #2+12+72+432+2592# using sigma notation?
- 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?
- How do you find #S_n# for the geometric series #a_1=3#, #a_n=46,875#, r=-5?
- The nth term, #U_n#, of a geometric sequence is given by #U_n=3(4)^(n+1)#, a) Find the common ratio #r#, b) Hence, or otherwise, find #S_n#, the sum of the first #n# terms of this sequence?
- How do you find #S_n# for the geometric series #a_1=243#, r=-2/3, n=5?
- How do you find #S_n# for the geometric series #a_1=2#, #a_6=486#, r=3?
- How do you find the sum of the first 14 terms of #1+4+16+64+...#?