<u>Answer:</u>
The correct answer option is B. Number of Days 120 240 360 480 600 Number of Stories 5 10 15 20 25.
<u>Step-by-step explanation:</u>
We are given some tables showing the number of stories completed in the construction of four different high-rise buildings and the number of days spent working on the building.
We are to determine whether which table represents a linear relationship.
Table B represents a linear relationship since its ratio of number of days to number of stories completed is constant.
Number of Days 120 240 360 480 600
Number of Stories 5 10 15 20 25
Ratio 24 24 24 24 24
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
