Solution
The counselor has 12 electives courses (e.g. art, band, PE, etc.) to choose from and must select 2 ordered classes for each 6th grade student.
Let S be the sample space.
Then, n(S) = 12C2 = (12 x 11) ÷ (2 x 1 ) = 132 ÷ 2 = 66
Sixty six (66) ways can the counselor arrange the last 2 periods of the day for the 6th grade students
11 and 15
<h2>Explanations:</h2>
Given the arithmetic sequence -1, 3, 7 __, __, you are to find the next two terms of the sequence.
The nth term of an arithmetic sequence is given as;
where:
• a is the ,first term
,• n is the ,number of terms
,• d is the ,common difference
From the given sequence;
a = -1
d = 3 - (-1) = 7 - 3 = 4
For the fourth term, n = 4;
For the fifth term, n = 5;
Therefore the next two terms of the arithmetic sequence are 11 and 15.