The following video gives some 'proof' to the formula for infinite geometric series... Try not to over-complicate this topic. TRUST ME, it will get over-complicated when you get to calculus. For now, go with the plan. :-)
https://youtu.be/wqnpSzEzq1w
Question 1
1.
Find the sum of the infinite geometric series, if it exists.
(just type the answer...if it doesn't exist type 'does not exist')
NOTE: Be sure to use the fraction in your equation..desmos is going to give you a rounded decimal on the x-axis...find the r and use the fraction NOT the decimal or your answer will be off.
Question 2
2.
Find the sum of the infinite geometric series, if it exists.
(just type the answer as a fraction...if it doesn't exist type 'does not exist')
Question 3
3.
Find the sum of the infinite geometric series, if it exists.
(just type the answer...if it doesn't exist type 'does not exist')
Question 4
4.
Find the sum of the infinite geometric series, if it exists.
(just type the answer...if it doesn't exist type 'does not exist')
Question 5
5.
Find the sum of the infinite geometric series, if it exists.
(just type the answer...if it doesn't exist type 'does not exist')
Question 6
6.
Given the recursive formula, what is the third term of the sequence?
Question 7
7.
Given the recursive formula, what is the fourth term of the sequence?
Question 8
8.
Write the recursive formula representing the sequence 4, 20, 100, 500,...
Question 9
9.
Write the recursive formula representing the sequence 7, 15, 23, 31,...
Question 10
10.
Write the recursive formula representing the sequence 1.8, 2.4, 3, 3.6...
(use the decimal in your formula)
Question 11
11.
What is the nth term of the indicated sequence?
Question 12
12.
What is
for the arithmetic series described?
Question 13
13.
Find the missing terms in the following series:
? , 7, ??, ???, 13
(sub the p values into the equation)
13
9
15
7
5
11
?
??
???
Question 14
14.
What is the last term of the following arithmetic sequence?
(this has 7 seven terms...)
This is NOT asking for the sum...it's asking for the 7th term in the sequence!!
Question 15
15.
226 is the ______ term in the arithmetic sequence 34, 42, 50, 58, ...
(find n...just type in the number)
Question 16
16.
What is the common ratio of the indicated geometric sequence?
Question 17
17.
Given the sequence:
Question 18
18.
What is the sum of the following series?
Question 19
19.
Which is the nth term of the indicated sequence?
(just type in the answer..as a fraction, if necessary)
Question 20
20.
What is the sum of the following series?
Question 21
21.
Find the sum of the infinite geometric series, if it exists.
(just type the answer...if it doesn't exist type 'does not exist')
Question 22
22.
Find the sum of the infinite geometric series, if it exists.
(just type the answer...if it doesn't exist type 'does not exist')
