The pattern of numbers below is an arithmetic sequence: 14, 24, 34, 44, 54, which statement describes the recursive function used to generate the sequence? a. the common difference is 1, so the function is f(n + 1) = f(n) + 1 where f(1) = 14. b. the common difference is 4, so the function is f(n + 1) = f(n) + 4 where f(1) = 10. c. the common difference is 10, so the function is f(n + 1) = f(n) + 10 where f(1) = 14. d. the common difference is 14, so the function is f(n + 1) = f(n) + 14 where f(1) = 10.

Option C is correct

The common difference is 10,

So,  the function is f(n + 1) = f(n) + 10 , where f(1) = 14

Step-by-step explanation:

The recursive function for the arithmetic sequence is given by:

          .....[1]

where, d is the common difference of the two consecutive terms.

Given the arithmetic sequence :

14, 24, 34, 44, 54, .......

First term f(1) = 14

Common difference(d) = 10

Since,

24 -14 = 10

34-24 = 10

44-34 = 10 and so on....

Substitute d = 4 in [1], we have;

Therefore, the recursive function used to generate the sequence is,

and f(1) = 10

solution:

as, mean is defined as sum of all the observations divided by total number of observations.

and , median is mid value of the data whether arranged in ascending order or descending order.

consider, roadsters:

2,3,4,5,6,7,8,9

mean =

also, median= , because number of observations is even, so median is mean of two mid values.

now, coming to bandits

2,3,4,5,6

mean =  

median = 4, as number of observations is odd.

so, roadsters has greater median as well mean than bandits.

→option a is true about the repairs performed on 2 types of cars:

bandits have lower median and mean than roadsters.

answer:

3 bags of apples and 2 bags of oranges.

step-by-step explanation: