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
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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.
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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')
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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')
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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')
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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')
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Question 6
6.
Given the recursive formula, what is the third term of the sequence?
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Question 7
7.
Given the recursive formula, what is the fourth term of the sequence?
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Question 8
8.
Write the recursive formula representing the sequence 4, 20, 100, 500,...
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Question 9
9.
Write the recursive formula representing the sequence 7, 15, 23, 31,...
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Question 10
10.
Write the recursive formula representing the sequence 1.8, 2.4, 3, 3.6...
(use the decimal in your formula)
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Question 11
11.
What is the nth term of the indicated sequence?
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Question 12
12.
What is
for the arithmetic series described?
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Question 13
13.
Find the missing terms in the following series:
? , 7, ??, ???, 13
(sub the p values into the equation)
15
11
9
7
13
5
?
??
???
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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!!
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Question 15
15.
226 is the ______ term in the arithmetic sequence 34, 42, 50, 58, ...
(find n...just type in the number)
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Question 16
16.
What is the common ratio of the indicated geometric sequence?
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Question 17
17.
Given the sequence:
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Question 18
18.
What is the sum of the following series?
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Question 19
19.
Which is the nth term of the indicated sequence?
(just type in the answer..as a fraction, if necessary)
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Question 20
20.
What is the sum of the following series?
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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')
1 point
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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')