Use the spinner shown. it is equally probable that the pointer will land on any one of the six regions. if the pointer lands on a borderline, spin again. if the pointer is spun twice, find the probability that it will land on grey and then purple

Probability that it will land on grey and then purple is .

Step-by-step explanation:

Given: it is equally probable that the pointer will land on any one of the six regions. if the pointer lands on a borderline, spin again.

According to question:  if the pointer is spun twice, then we have to determine the probability that it will land on grey and the purple.

There are six regions which means there are equally probabilities for the pointer to land on grey and the purple.

Now,

If each region has a colour the probability for it to land on is:

The numerator represents the only green or purple possibilities for there is only one region with each colour.

Therefore, probability that it will land on grey and then purple is .

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arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

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step-by-step explanation: