Answer:
A. 6
Step-by-step explanation:
The formula for nth arithmetic sequence =
aₙ = a₁+(n - 1) d
a₁ = First term
n = number of terms
d = common difference
In the question above, explicit formula for the nth term:
aₙ = 2 + (n - 1)(6)
This means, the first term a1 = 2
d = 6
The same sequence has the following recursive formula:
aₙ = aₙ₋₁+ ___
The formula for a recursive formula is
aₙ= aₙ₋₁+ d
Where the common difference from the nth term = 6
Therefore , the number that belongs in the blank space in the recursive formula is 6
