Arithmetic Sequence Recursive Formula

Write the recursive formula for 6, 17, 28, 39, 50....

• a_n=a_n-1+11
  a₁=6

• a_n=a_n-1-4
  a₁=6

• a_n=a_n-1+9
  a₁=6

• a_n=a_n-1+6
  a₁=6

Given the recursive formula, find the first four terms:
a_n = a_n-1 + 5
a₁ = -16

• -16, -21, -26, -31

• 5, -11, -27, -43

• -16, -80, -500, -200

• -16, -11, -6, -1

Which of the following recursive formulas represents the given sequence.

Find the 4th term for the sequence defined by a₁=9; a_n=a_n-1+8

• 35

• 17

• 41

• 33

What is the recursive formula for arithmetic sequences?

• f(n) = f(n-1) + d

• f(n) = f(1) + (n+1)d

• f(n) = f(1) + nd

• f(n) = f(1)+ (n-2)d

Which sequence(s) represent an arithmetic sequence?

• a and e

• a, b, and e

• b, c, and d

• b

Identify the rule as recursive or explicit, then find the first 4 terms of the sequence.
a₁ = 100; a_n = a_n-1 - 8

• Explicit; 100, 92, 84, 76

• Recursive; 100, 92, 84, 76

• Explicit; 100, 108, 116, 124

• Recursive; 100, 108, 116, 124

Find the 32nd term of this sequence.
34, 37, 40, 43, ...

• 32

• 64

• 127

• 356

Given the recursive formula below, find the first five terms. u₁ = 3 u_n = u_n-1 + 2

• 3, 5, 7, 9, 11

• 5, 7, 9, 11, 13

• 2, 4, 6, 8, 10

• 1, 3, 5, 7, 9

Given a_1=7 and d = 7, write the recursive formula represents the sequence.