SOLUTION: Use the geometric sequence of numbers 1, 2, 4, 8,…to find the following: a)What is r, the ratio between 2 consecutive terms? b)Using the formula for the nth term of a geomet

Algebra ->  Real-numbers -> SOLUTION: Use the geometric sequence of numbers 1, 2, 4, 8,…to find the following: a)What is r, the ratio between 2 consecutive terms? b)Using the formula for the nth term of a geomet      Log On


   

Question 33873: Use the geometric sequence of numbers 1, 2, 4, 8,…to find the following:
a)What is r, the ratio between 2 consecutive terms?
b)Using the formula for the nth term of a geometric sequence, what is the 24th term?
c)Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?

Answer by sarah_adam(201) About Me  (Show Source):
You can put this solution on YOUR website!
Use the geometric sequence of numbers 1, 2, 4, 8,…to find the following:
a)What is r, the ratio between 2 consecutive terms?
r = 4/2 = 2
b)Using the formula for the nth term of a geometric sequence, what is the 24th term?
General term of a G. P.
Tn = +a+%28r%5En-1%29
a = 1, r = 2 ,n = 24
T 24 = 1%282%5E%2824-1%29%29
T 24 =+2%5E23

c)Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
S n = a%281-r%5En%29%2F%281-r%29
Sum of first 10 terms:
S10 = 1%281-2%5E10%29%2F%281-2%29
S 10 = %281-2%5E10%29%2F-1
S 10 = 1023