Arithmetic Sequence Recursive Rule

Which formula represents the recursive rule for an arithmetic sequence?

• f(n-1)+d

• f(n-1)*r

• f(0)+d*n

• f(0)*rⁿ

Which formula, written in words, represents the recursive rule for an arithmetic sequence?

• "previous term" plus the "common difference"

• "start value" plus the "common difference" multiplied by the "variable"

• "start value" multiplied by the "common ratio" to the power of the "variable"

• "previous term" multiplied by the "common ratio"

What is the recursive rule for this sequence?

• f(n-1)+2

• f(n-1)+4

• f(n-1)*2

• f(n-1)*4

Which recursive rule can be used to find the next term in the sequence?

• f(3)+4

• f(3)+2

• f(3)+10

• f(3)*2

Which formula is used to find the recursive equation for arithmetic sequences?

• a_n = a_(n-1) + d

• a_n = a_(n-1) * r

• a_n = a₁ + d(n-1)

• a_n = a₁ * r^n-1

Given the recursive rule for the sequence: a₁ = 17; a_n = a_n-1 - 16. What is the 25th term?

Mathematical Equivalence

ON

What is the starting value in this sequence?

• 0

• 1

• 2

• 4

Write the recursive rule for the arithmetic sequence
82, 76, 70, 64, ...

• a₁=82; a_n = a_n-1-6

• a₁=64; a_n = a_n-1-6

• a₁=82; a_n = a_n-1+6

• a₁=64; a_n = a_n-1+6

Write the recursive rule for the arithmetic sequence
-49, -35, -21, -7, ...

• a₁=-49; a_n = a_n-1 + 10

• a₁=-7; a_n = a_n-1 + 14

• a₁=-49; a_n = a_n-1 + 14

• a₁= -49; a_n = a_n-1 -14

Identify a₁ and d for the sequence
-5, -2, 1, 4, ...

• a₁ = 3 and d = -5

• a₁ = -8 and d = 3

• a₁ = -5 and d = 3

• a₁ = -5 and d = -3