Common Difference/Ratio
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Find the "n-th" term!
Word/Challenge
Problems
Things That Should Never Be Put In Cereal
100

Find the common ratio:

6,54,486,...

9

100

Write an explicit formula for the following sequence:

11,15,19,....

an = 11 + 4(n-1)

100

Find the 63rd term of the arithmetic sequence −1,5,11,...

371

100

In an arithmetic sequence, the first term is equal to 5 and the fourth term is equal to 17. What is the common difference of the arithmetic sequence?

d = 4

100

I have four legs but no tail. Usually, I’m heard only at night.

Frog

200

Find the common difference:

−11,−17,−23,...

-6

200

Write an explicit formula for the following sequence:

4,1,−2,....

an = 4 - 3(n-1)

200

Find the 98th term of the arithmetic sequence 8,24,40,...

1560

200

In an arithmetic sequence the first term is equal to 10 and the fifth term is equal to 46. What is the common difference of the arithmetic sequence?

d = 9

200

I’m not a friend of paper and you will want to keep me away from small children.

Scissors

300

Find the common ratio:

−6,−48,−384,...

8

300

Write an explicit formula for the following sequence:

3,−3,−9,....

an = 3 - 6(n-1)

300

Find the 15th term of the geometric sequence 3,−6,12,...

49,152

300

In a geometric sequence, the first term is equal to 3 and the third term is equal to 192. What is the common ratio of this geometric sequence?

r = 8

300

If you need to draw a line, use this item to make it straight.

Ruler

400

Is the following sequence arithmetic, geometric, or neither:

4, -32, 256, -2048, 16383, ...

neither

400

Write an explicit formula for the following sequence:

6,−12,24,....

an = 6(-2)^n-1

400

Find the 13th term of the geometric sequence 4,−16,64,...

67,108,864

400

In a geometric sequence, the first term is equal to 8 and the fourth term is equal to 64. What is the common ratio of the geometric sequence?

r = 2

400

This item is used to find the value of a correlation coefficient.

Calculator

500

The second term of an arithmetic sequence is -20 and the fifth term is -47. What is the common difference?

-9

500

Write an explicit formula for the following sequence:

32,−16,8,....

an = 32(-1/2)^n-1

500

65,536 is what term of the following geometric sequence: 4,8,16,... 


15th term

500

Mr. Valentino has agreed to donate $100 to Roslyn Middle School for a library renovation. In addition, he will donate $2 for every student that completes their Delta Math HW on a particular night. If you create an explicit formula based on money raised from students completing their HW, what would be the value of a1 in this situation?

102

500

I am not alive, but I grow; I don't have lungs, but I need air; I don't have a mouth, but water kills me.

Fire

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