What is the recursive definition, common difference. and next 3 terms for the arithmetic sequence .8, 1.6, 2.4, 3.2,

The common difference is 0.8 and the next 3 terms are 4.8, 5.6, 6.4.

Explanation:

The given arithmetic sequence is,

Since it is a arithmetic sequence, therefore the common difference is,

The recursive is the process in which the preceding term is used to find the next one.

The recursive formula of arithmetic sequence is,

Where, a is first term and d is common difference.

Since, the first term is 0.8 and common difference is 0.8.

We have to find next 3 terms, so we have to add 0.8 in preceding term of the sequence because the common difference is 0.8. The last given term is 4, So, first next term is,

Now the preceding term is 4.8, so the next term is,

Now the preceding term is 5.6, so the next term is,

Therefore the common difference is 0.8 and the next 3 terms are 4.8, 5.6, 6.4.

a) one student is chosen from classroom a, then a student is chosen from classroom b.  

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b.   this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes.   this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes.   this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes.   this makes them dependent events.