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Andy's Room: OL Geometric Breakout 2024

MALINDA TREIBER

Created on November 13, 2024

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Transcript

Howdy Folks! The toys have gone crazy and we need your help! Open the door and step into Andy's room!

The toys have kidnapped Santa because Andy was on the naughty list! Help me solve problems to locate Santa and save Christmas!

Go back to Andy's Room

Solve the problem to see who the gang is helping out!

Ms. Johnson made $50,000 during her first year of teaching. Each subsequent year she has 5% raise in addition to her previous year’s salary. Find her total earnings during her first 6 years of teaching. Round your answer to the nearest cent.

Round to the nearest cent. Include: $, commas, and periods if needed.

Enter the password

Go back to Andy's Room

− 38, -17, ?, ...

Use Etch A Sketch and Mr. Spell to answer the questions!

Create the third term in this sequence, so that the sequence will be arithmetic.

Go back to Andy's Room

− 38, -17, ?, ...

Click the etch a sketch to move on to the next question!

To infinity and the next question!

To infinity and the next question!

Go back to Andy's Room

18, -3, ?, ...

Use Etch A Sketch and Mr. Spell to answer the questions!

Create a third term in this sequence, so that the sequence will be geometric.

Go back to Andy's Room

18, -3, ?, ...

Use Etch A Sketch and Mr. Spell to answer the questions!

Go back to Andy's Room

18, -3, ?, ...

Use Etch A Sketch and Mr. Spell to answer the questions!

1/

Go back to Andy's Room

18, -3, ?, ...

Click the etch a sketch to move on to the next question!

To infinity and the next question!

To infinity and the next question!

1/2

Go back to Andy's Room

-10, 2, ?, …

Use Etch A Sketch and Mr. Spell to answer the questions!

Create a third term in this sequence, so that the sequence will be geometric.

Go back to Andy's Room

-10, 2, ?, …

Use Etch A Sketch and Mr. Spell to answer the questions!

Go back to Andy's Room

-10, 2, ?,…

Use Etch A Sketch and Mr. Spell to answer the questions!

-2

Go back to Andy's Room

-10, 2, ?,…

Use Etch A Sketch and Mr. Spell to answer the questions!

-2/

Go back to Andy's Room

-10, 2, ?,…

Click the etch a sketch to move on to the next question!

To infinity and the next question!

To infinity and the next question!

-2/5

Go back to Andy's Room

?, 1/6, 1/2, 3/2,…

Use Etch A Sketch and Mr. Spell to answer the questions!

Create a 1st term to make it a geometric sequence

Go back to Andy's Room

?, 1/6, ½, 3/2,…

Use Etch A Sketch and Mr. Spell to answer the questions!

Go back to Andy's Room

?, 1/6, ½, 3/2,…

Use Etch A Sketch and Mr. Spell to answer the questions!

1/

Go back to Andy's Room

?, 1/6, ½, 3/2,…

Use Etch A Sketch and Mr. Spell to answer the questions!

1/1

Go back to Andy's Room

?, 1/6, 1/2, 3/2,…

Click the etch a sketch to move on to the next question!

To infinity and the next question!

To infinity and the next question!

1/18

Go back to Andy's Room

0.1 + 0.01 + 0.001 + ...

Use Etch A Sketch and Mr. Spell to answer the questions!

Go back to Andy's Room

0.1 + 0.01 + 0.001 + ...

Use Etch A Sketch and Mr. Spell to answer the questions!

Go back to Andy's Room

0.1 + 0.01 + 0.001 + ...

Use Etch A Sketch and Mr. Spell to answer the questions!

1/

Go back to Andy's Room

If the 3rd term of a geometric sequence is -20 and the 8th is 5/256 , find a1.

Use Etch A Sketch and Mr. Spell to answer the questions!

To infinity and the next question!

Go back to Andy's Room

If the 3rd term of a geometric sequence is -20 and the 8th is 5/256 , find a1.

Use Etch A Sketch and Mr. Spell to answer the questions!

Go back to Andy's Room

If the 3rd term of a geometric sequence is -20 and the 8th is 5/256 , find a1.

Use Etch A Sketch and Mr. Spell to answer the questions!

-3

Go back to Andy's Room

If the 3rd term of a geometric sequence is -20 and the 8th is 5/256 , find a1.

Use Etch A Sketch and Mr. Spell to answer the questions!

-32

Go back to Andy's Room

Remember the code on Mr.Spell for later! The number is the 3rd number in the code

Congratulations!

-8

Go back to Andy's Room

Find the sum of the first 6 terms of the geometric series.

Go back to Andy's Room

Find the sum of the first 6 terms of the geometric series.

Go back to Andy's Room

Find the sum of the first 6 terms of the geometric series.

-9

Go back to Andy's Room

Next question!

Find the sum of the first five terms of the geometric sequence with a1 = 4 and a2 = -8.

-91 Yes!

Go back to Andy's Room

Find the sum of the first five terms of the geometric sequence with a1 = 4 and a2 = -8.

Go back to Andy's Room

Next question!

If the 3rd term of a geometric sequence is -20 and the 8th term is 5/256 , find r.

44 Yes!

Go back to Andy's Room

If the 3rd term of a geometric sequence is -20 and the 8th term is 5/256 , find r.

Go back to Andy's Room

If the 3rd term of a geometric sequence is -20 and the 8th term is 5/256 , find r.

-1

Go back to Andy's Room

If the 3rd term of a geometric sequence is -20 and the 8th term is 5/256 , find r.

-1/

Go back to Andy's Room

Next question!

If the 4th term of a geometric sequence is 18 and the 7th is 2/3 , find a1.

-1/4 Yes!

Go back to Andy's Room

If the 4th term of a geometric sequence is 18 and the 7th is 2/3 , find a1.

Go back to Andy's Room

If the 4th term of a geometric sequence is 18 and the 7th is 2/3 , find a1.

48

Go back to Andy's Room

Yes! You did it. Clue to where Santa is: the first number is 9 Click that sleigh again to get going back to Andy's room to look for more clues!

-300

Go back to Andy's Room

IMPORTANT: if you get any of these questions wrong, you will not know until the final question in the set. Write out your work, just in case!

300

What is a1?

1/4

Go back to Andy's Room

-4

-1/4

What is r?

Go back to Andy's Room

Pick the correct formula to use.

Go back to Andy's Room

What is the final answer? Round to the nearest hundredth.

What is the final answer? Round to the nearest hundredth.

Enter the password

-1/2

Go back to Andy's Room

-2

4, -2, 1, -1/2, ....

What is r?

Go back to Andy's Room

What is the formula for the sum of the first five terms?

4, -2, 1, -1/2, ....

Pick the correct formula to use.

Go back to Andy's Room

4, -2, 1, -1/2, ....

What is the sum of the first five terms. Round to the nearest hundrdeth.

What is the final answer? Round to the nearest hundredth.

Enter the password

-1/2

Go back to Andy's Room

-1/5

1/5

-2

25, -5, 1, -1/5, ...

What is r?

Go back to Andy's Room

What is the formula for the sum of the first 30 terms?

25, -5, 1, -1/5, ...

Pick the correct formula to use.

Go back to Andy's Room

25, -5, 1, -1/5, ...

What is the sum of the first 30 terms? Round to the nearest hundredth.

What is the final answer? Round answer to the nearest hundreth.

Enter the password

Go back to Andy's Room

Uhhhh can you try again please?

Go back to Andy's Room

Uhhhh can you try again please?

Hint: First solve for r, and then solve for a1.

Go back to Andy's Room

You've been gathering clues as you've completed the different challenges... When you think you know the answer, click the tree below.

Click here to go back

What is your secret code?

Enter the password in lowercase