What is the recursive formula for this sequence? 12, 16, 20, 24, 28,

Option A is correct.

Step-by-step explanation:

For a sequence

A recursive formula states that it is a formula that requires the computation of all previous terms in order to find the value of i,e  it is given by;

                   ......[1]

Given the sequence : 12, 16, 20, 24, 28, .......

here,

First term =

and so on....

Now, find the common difference(d);

Common difference states that it is the difference between two numbers in an arithmetic sequence

Therefore, from the given sequence ;

d = 4

Since,

16 -12 = 4,

20-16 =4,

24 -20 = 4 and so on.....

Now, substitute the value of and d =4 in [1] ; we get

Therefore, we have;

0 and 5 minutes

step-by-step explanation:

given that one morning eight buses arrive late by the number of minutes given below:

0 8 2 6 9 2 0 7 8

write these in ascending order

0   0 2 6 7 8 8 9

in the afternoon two more buses arrive at the bus stop say by x and y minutes late.

total number of buses = 10

median = average of 4th and 5th after arranging in ascending order

since 4th entry is 6, the values of x and y should be below 6

also given 0 is the mode so either x or y or both should be 0 because then only 0 gets the maximum frequency and hence mode

thus we have

0 0 0 2 6 7 8 8 9 and another unknown entry which is below 6.

since median is 3.5, we have the unknown entry to be 5 only because then only median =( 2+5)/2

thus the after noon buses were late by 0 and 5 minutes.