Arithmetics Sequences

We will start with the explicit formula. Given the following sequence, state the first term and common difference. Example 1:          4, 7, 10, 13, 16, …

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CCSS.HSF.BF.A.2

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

• -1, 7, 15

• -5, 2, 9

• 3, 12, 21

• -65, -73, -81

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CCSS.HSF.BF.A.2

Find the next three terms in the arithmetic sequence: 25, 34, 43, 52, ...

• 63, 72, 81

• 79, 88, 97

• 70, 79, 88

• 61, 70, 79

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CCSS.HSF.BF.A.2

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ... (Hint: Write the explicit rule first, then use it to solve)

• -515

• -490

• -535

• 460

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CCSS.HSF.BF.A.2

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ... (Hint: Write the explicit rule first, then use it to solve)

• -216

• -148

• -146

• -150

Tags

CCSS.HSF.BF.A.2

Given the sequence: 25, 21, 17, 13,... Write the explicit equation that models the sequence.

• a_n = 25 + (n-1)4

• a_n = 29 + (n-1)(-4)

• a_n = 25 +(n-1)(-4)

• a_n = 29 +(n-1)(4)

Tags

CCSS.HSF.BF.A.2

Is the sequence arithmetic: -3, 3, -3, 3, ...

• Yes

• No

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CCSS.HSF.BF.A.2

Is the sequence arithmetic: 17, 9, 1, -7, ...

• Yes

• No

Tags

CCSS.HSF.BF.A.2

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

• d = -5

• d = 5

• d = -6

• d = 6

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CCSS.HSF.BF.A.2

Find the common difference: 29, 21, 13, 5, ...

• d = -10

• d = -9

• d = -8

• d = -7

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CCSS.HSF.BF.A.2