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Laabri

12/19/2022-HW Inf Geo Series, Recursive Sequences

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Last updated about 3 years ago
24 Nsɛmmisa

https://www.desmos.com/testing/virginia/graphing

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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Asemmisa {{asɛmmisaAhyɛnsode}}
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.

Asemmisa {{asɛmmisaAhyɛnsode}}
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')

Asemmisa {{asɛmmisaAhyɛnsode}}
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')

Asemmisa {{asɛmmisaAhyɛnsode}}
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')

Asemmisa {{asɛmmisaAhyɛnsode}}
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')

Asemmisa {{asɛmmisaAhyɛnsode}}
6.

Given the recursive formula, what is the third term of the sequence?

Asemmisa {{asɛmmisaAhyɛnsode}}
7.

Given the recursive formula, what is the fourth term of the sequence?

Asemmisa {{asɛmmisaAhyɛnsode}}
8.

Write the recursive formula representing the sequence 4, 20, 100, 500,...

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

Write the recursive formula representing the sequence 7, 15, 23, 31,...

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

Write the recursive formula representing the sequence 1.8, 2.4, 3, 3.6...

(use the decimal in your formula)

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

What is the nth term of the indicated sequence?

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

What is

for the arithmetic series described?

Asemmisa {{asɛmmisaAhyɛnsode}}
13.

Find the missing terms in the following series:

? , 7, ??, ???, 13

(sub the p values into the equation)

  • 5

  • 7

  • 13

  • 9

  • 15

  • 11

  • ?

  • ??

  • ???

Asemmisa {{asɛmmisaAhyɛnsode}}
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!!

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

226 is the ______ term in the arithmetic sequence 34, 42, 50, 58, ...

(find n...just type in the number)

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

What is the common ratio of the indicated geometric sequence?

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

Given the sequence:

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

What is the sum of the following series?

Asemmisa {{asɛmmisaAhyɛnsode}}
19.

Which is the nth term of the indicated sequence?

(just type in the answer..as a fraction, if necessary)

Asemmisa {{asɛmmisaAhyɛnsode}}
20.

What is the sum of the following series?

Asemmisa {{asɛmmisaAhyɛnsode}}
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')

Asemmisa {{asɛmmisaAhyɛnsode}}
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')

Asemmisa {{asɛmmisaAhyɛnsode}}
23.

upload your pages of work here--page 1

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

upload your pages of work here--page 2