SOLUTION: Use the geometric sequence of numbers 1, 2, 4, 8,…to find the following:
1. What is r, the ratio between 2 consecutive terms?
2. Using the formula for the nth term of a geo
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Question 34410This question is from textbook College Algebra
: Use the geometric sequence of numbers 1, 2, 4, 8,…to find the following:
1. What is r, the ratio between 2 consecutive terms?
2. Using the formula for the nth term of a geometric sequence, what is the 24th term?
3. Using the formula for the sum of a geometric series, what is the sum of the first 10 terms?
All help is greatly appreicated!!!!!!!
This question is from textbook College Algebra
Answer by longjonsilver(2297) (Show Source): You can put this solution on YOUR website!
a geometric sequence is one that has a common factor (ie a multiplier) between terms. Just looking at the sequence... start at 1. What do we multiply it by to get to next number, 2. Answer is 2... r=2.
If you have a more awkward sequence, then divide one term by the previous one: 8/4 is 2. 4/2 is 2. 2/1 is 2 etc.
24th term:
1st term is a
2nd term is ar
3rd term is ar^2
4th term is ar^3
...
24th term is ar^23
So,
work it out yourself :-)
sum of 10 =
sum of 10 =
sum of 10 =
sum of 10 =
sum of 10 = 1023
jon.
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