SOLUTION: Determine S6 for the geometric series with properties listed below A) a = 5 and r = 10, B) t4= 6, and t6= 24

Algebra.Com
Question 412050: Determine S6 for the geometric series with properties listed below
A) a = 5 and r = 10,
B) t4= 6, and t6= 24

Answer by ewatrrr(24785)   (Show Source): You can put this solution on YOUR website!

Hi
Geometric Series

= a(1-r^n)/(1-r)
A) = 5(1-10^6)/(1-10) = 5 *-999999/-9 = 555,555
B) a[6]= a[1]r^5 = 24 and a[4] = a[1]r^3= 6
a[1] = 6/r^3 (6/r^3)r^5 = 24 r^2 = 4, r = 2 and a[1] = 6/8 = 3/4
= 3/4*(1-2^6)/-1 = 47.25
RELATED QUESTIONS

The first three terms of a geometric sequence are t1 = 32, t2 = -16, t3 = 8. Find the... (answered by ikleyn)
Find the 8th term in the geometric sequence with t4 = 48 and t6 =... (answered by ewatrrr)
In an arithmetic series s6 = 162 and t6 = 47. What is the common difference for the terms (answered by stanbon)
Find all geometric sequences in which t3 + t4 = 36 and t5 + t6 = 144 I know one... (answered by MathLover1)
In a geometric sequence, a=120 and t4=19,965. Determine the common ratio r to the nearest (answered by stanbon)
Find the sum indicated for each of the geometric series listed 3 + 1.5 + 0.75 + ...,... (answered by ewatrrr)
Find S9 of a geometric series if t1 = 2 and t6 =... (answered by mananth)
What is the sum of the first five terms of a geometric series with a1=10 and... (answered by jim_thompson5910)
For the sequence below, determine whether it is arithmetic or geometric. State the... (answered by ikleyn)