Arithmetic Sequences and Series Quiz

Determine the common difference, and find the next four terms of each arithmetic sequence. For the sequence -1.1, 0.6, 2.3, ...

• Common difference: 1.7, Next four terms: 4.0, 5.7, 7.4, 9.1

• Common difference: 1.5, Next four terms: 3.8, 5.3, 6.8, 8.3

• Common difference: 1.7, Next four terms: 3.0, 4.7, 6.4, 8.1

• Common difference: 2.1, Next four terms: 4.4, 6.5, 8.6, 10.7

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Determine the common difference, and find the next four terms of each arithmetic sequence. For the sequence 16, 13, 10, ...

• -3, 7, 4, 1, -2

• -3, 10, 7, 4, 1

• 3, 19, 22, 25, 28

• -3, 13, 10, 7, 4

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find both an explicit formula and a recursive formula for the nth term of the arithmetic sequence 3, 9, 13, 17, ...

• Explicit: a_n = 3 + 6(n - 1), Recursive: a_n = a_(n-1) + 4

• Explicit: a_n = 3 + 4(n - 1), Recursive: a_n = a_(n-1) + 4

• Explicit: a_n = 3 + 6(n - 1), Recursive: a_n = a_(n-1) + 6

• Explicit: a_n = 3 + 4(n - 1), Recursive: a_n = a_(n-1) + 6

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Find both an explicit formula and a recursive formula for the nth term of each arithmetic sequence. For the sequence 4, 75, 70, 65, ...

• Explicit: a_n = 4 + (n - 1) * -5, Recursive: a_n = a_(n-1) - 5

• Explicit: a_n = 75 + (n - 1) * 5, Recursive: a_n = a_(n-1) + 5

• Explicit: a_n = 4 + (n - 1) * 5, Recursive: a_n = a_(n-1) + 5

• Explicit: a_n = 75 - (n - 1) * 5, Recursive: a_n = a_(n-1) - 5

Tags

CCSS.HSF.BF.A.2

Find the specified value for the arithmetic sequence with the given characteristics. If a_1 = -27 and d = 3, find a_24.

• 42

• 36

• 24

• 45

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Find the specified value for the arithmetic sequence with the given characteristics. If a_23 = 32 and a_1 = -12, find d.

• 2

• 12

• 8

• 5

Tags

CCSS.HSA.REI.B.3

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Find the specified value for the arithmetic sequence with the given characteristics. If a_n = 27, a_1 = -12, and d = 3, find n.

• 5

• 10

• 12

• 14

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSF.BF.A.2

CCSS.HSF.LE.A.2

Find the specified value for the arithmetic sequence with the given characteristics. If a_6 = 5 and d = -3, find a_1.

• 14

• 20

• 17

• 22

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find the indicated arithmetic means for each set of nonconsecutive terms. For the terms 9 and 3, find the means: 35 and 45.

• The means are 21 and 27

• The means are 19 and 29

• The means are 22 and 26

• None of the above

Tags

CCSS.HSF.BF.A.2

CCSS.HSF.IF.A.3

CCSS.HSF.LE.A.2

Find the indicated arithmetic means for each set of nonconsecutive terms.

2 means: -7 and 2.75?

• -7 and 3.75

• -7 and 2.75

• 7 and -2.75

• -3.75 and - 0.5

Tags

CCSS.6.NS.C.5

CCSS.6.NS.C.6