Sequences and recursion

What does "a" represent in the recurrence relation:

t₁ = a and t_n+1 = t_n + d

• The first term in the sequence

• The common difference

• The nth term in the sequence

What does "d" represent in the recurrence relation:

t₁ = a and t_n+1 = t_n + d

• The first term in the sequence

• The common difference

• The nth term in the sequence

What does "t_n" represent in the recurrence relation:

t₁ = a and t_n+1 = t_n + d

• The first term in the sequence

• The common difference

• The nth term in the sequence

What is the value of the 5th term in the sequence with the recurrence relation:

t₁ = 3 and t_n+1 = t_n + 2

• 11

• 9

• 14

• 5

What is the value of the 4th term in the sequence with the recurrence relation:

t₁ = 7 and t_n+1 = t_n -5

• -8

• -3

• 22

• 2

What is the value of the 3rd term in the sequence with the recurrence relation:

t₁ = -10 and t_n+1 = t_n +4

• -2

• -6

• 14

• -14

What is the value of the 8th term in the sequence with the recurrence relation:

t₅ = -10 and t_n+1 = t_n + 4

• 2

• -2

• 0

• 22

What is the recurrence relation for the following sequence:

14, 8, 2, -4, -10

• t₁ = 14 and t_n+1 = t_n - 6

• t₁ = 14 and t_n+1 = t_n - 4

• t₁ = -10 and t_n+1 = t_n + 6

• t₁ = -10 and t_n+1 = t_n - 4

What is the recurrence relation for the following sequence:

-3, 6, -12, 24, -48

• t₁ = -3 and t_n+1 = t_n + 9

• t₁ = -3 and t_n+1 = -2t_n

• not possible

• t₁ = -3 and t_n+1 = t_n -6

What is the recurrence relation for the following sequence:

2, 5, 11, 23, 47

• t₁ = 2 and t_n+1 = 2t_n + 1

• t₁ = 2 and t_n+1 = t_n + 3

• t₁ = 2 and t_n+1 = t_n + 6

• t₁ = 2 and t_n+1 = 2t_n + 3