A bag contains six ​batteries, all of which are the same size and are equally likely to be selected. Each battery is a different brand. If you select 4 batteries at​ random, use the counting principle to determine how many points will be in the sample space if the batteries are selected ​a) with replacement. ​b) without replacement.

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.

a negative exponent is translated as follows:

so, we have

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