Which of the following best describes this sequence? $$\left\{135,\ 45,\ 15,\ 5,\ ...\right\}$$

A geometric sequence with a common ratio of $$\frac{1}{3}$$

An arithmetic sequence with a common ratio of $$\frac{1}{3}$$

A geometric sequence with a common difference of 3.

An arithmetic sequence with a common difference of 3.

Which of the following best describes this sequence? $$\left\{5,\ 8,\ 11,\ 14,\ ...\right\}$$

An arithmetic sequence with a common difference of 3.

An arithmetic sequence with a common ratio of 3.

A geometric sequence with a common difference of 3.

A geometric sequence with a common ratio of 3.

What is the formula for the n th term of the sequence 3, -6, 12, -24, 48, ...?

a n = 3 ( − 2 ) ( n − 1 ) a_n=3\left(-2\right)^{\left(n-1\right)} a n = 3 ( − 2 ) ( n − 1 )

a n = − 2 ( 3 ) n a_n=-2\left(3\right)^n a n = − 2 ( 3 ) n

a n = 3 ( − 2 ) n a_n=3\left(-2\right)^n a n = 3 ( − 2 ) n

a n = − 2 ( 3 ) ( n − 1 ) a_n=-2\left(3\right)^{\left(n-1\right)} a n = − 2 ( 3 ) ( n − 1 )

What is the 12th term of the following sequence? { 3 , − 6 , 12 , − 24 , 48 , . . . } \left\{3,-6,\ 12,\ -24,\ 48,\ ...\right\} { 3 , − 6 , 1 2 , − 2 4 , 4 8 , . . . }

− 6 , 411 -6,411 − 6 , 4 1 1

354 , 294 354,294 3 5 4 , 2 9 4

− 354 , 294 -354,294 − 3 5 4 , 2 9 4

Arithmetic and Geometric Sequences

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Arithmetic and Geometric Sequences

Quiz

•

Mathematics

•

9th - 12th Grade

•

Practice Problem

•

Hard

•

CCSS

HSF.BF.A.2, HSF.LE.A.2, 5.NF.B.7B

Standards-aligned

Jordan Reed

Used 4+ times

FREE Resource

Is the sequence arithmetic: 37, 31, 25, 19, ...

Yes

Tags

CCSS.HSF.BF.A.2

MULTIPLE CHOICE QUESTION

5 mins • 1 pt

Which sequence is NOT an arithmetic sequence?

-7, -13, -19, -25,...

-10, -6, -2, 2,..

6, 8, 10, 12,...

3, 15, 75, 375,...

Tags

CCSS.HSF.BF.A.2

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Arithmetic and Geometric Sequences

35 questions

Find the common difference: -34, -29, -24, -19, ...

Find the next three terms in the arithmetic sequence: -33, -24, -15, -6, ...

Find the 25th term of the sequence if a(0) = 5 and d = 0.5

What is each number in a sequence called?

What is the difference between two numbers in an arithmetic sequence called?

Is the sequence arithmetic: 37, 31, 25, 19, ...

Which sequence is NOT an arithmetic sequence?

Which of the following is a geometric sequence?

What is the common ratio of the geometric sequence -1, 6, -36, 216, ...?

Write the explicit formula for the geometric sequence.

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