arithmetic sequence

The explicit rule for arithmetic sequence is a_n = a₁ + d(n − 1), what does the d represent.

• common denominator
• common difference
• common divider
• uncommon difference

Tags

CCSS.HSF.BF.A.2

A sequence can be generated by using a_n = a_{(n − 1)} + 10, where a₁ = 23 and n is a whole number greater than 1. What are the first five terms in the sequence?

• 33, 43, 53, 63, 73
• 23, 33, 43, 53, 63
• 23, 230, 2300, 23000, 230000
• 23, 13, 3, −7, −17

Tags

CCSS.HSF.BF.A.2

In the recursive rule for the arithmetic sequence a_n =  a_{(n − 1)} + d, the (n − 1) represent the ________________.

• next term
• current term
• previous term
• first term

Tags

CCSS.HSF.BF.A.2

Using this explicit rule a_{n = 2n + 5, write the first four terms in the sequence.}

• 7, 9, 11, 13
• 5, 7, 9, 11
• 7, 5, 3, 1
• 5, 3, 1, −1

Tags

CCSS.HSF.BF.A.2

Given the sequence:
 25, 21, 17, 13,...
Write the explicit equation that models the sequence.  (Hint:  Simplify your equation.)

• a_n = 4n + 29
• a_n = -4n + 25
• a_n = -4n + 29
• a_n = 4n + 25

Tags

CCSS.HSF.BF.A.2

Create the explicit formula for the sequence:
2, 8, 14, ...
(Hint:  Write your formula and then simplify it.)

• a_n=2+6n
• a_n=-6+6n
• a_n=6n-4
• a_n=4-6n

Tags

CCSS.HSF.BF.A.2

Find the 32nd term of this sequence.
9, 4, -1, -6, -11, ...

• 81
• -34
• -146
• -225

Tags

CCSS.HSF.BF.A.2

Find the 35th term in the arithmetic sequence: -10, -14, -18, -22, ...

• -216
• -148
• -146
• -150

Tags

CCSS.HSF.BF.A.2

Find a₂₆ in the arithmetic sequence: -15, -35, -55, -75, ...

• -515
• -490
• -535
• 460

Tags

CCSS.HSF.BF.A.2

Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...

• 182
• 176
• 170
• -118

Tags

CCSS.HSF.BF.A.2