Arithmetic Sequence Regents

Find the common difference: 1, 201, 401, 601, ...

• d = 100

• d = 101

• d = 200

• d = 201

Tags

CCSS.HSF.BF.A.2

Write the recursive formula for 4, 8, 12...

• a_n=a_n-1-7

• a_n=a_n-1-4

• a_n=a_n-1+3

• a_n=a_n-1+4

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

• -515

• -490

• -535

• 460

Tags

CCSS.HSF.BF.A.2

Which sequence(s) represent an arithmetic sequence?

• a and e

• a, b, and e

• b, c, and d

• b

Tags

CCSS.HSF.BF.A.2

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

Is this an arithmetic sequence?

• yes

• maybe

• sometimes

• no

Tags

CCSS.HSF.BF.A.2

Write the explicit rule for this situation.

• f(n) = 35 + 3(n − 1)

• f(n) = 35 −3(n − 1)

• f(n) = 3 + 35(n − 1)

• f(n) = −3 + 35(n − 1)

Write the recursive rule for this situation.

• f(n) = f(n − 1) + 58, n ≥ 2

• f(n) = 58 + 7(n − 1)

• f(n) = 58 − 7(n − 1)

• f(n) = f(n − 1) + 7, n ≥ 2

Tags

CCSS.HSF.IF.A.3