Missing part of the question
Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)
Answer:

Step-by-step explanation:
Given
For 5 people

Using the given instance of 5 people, the number of handshakes can be represented as:

The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.

Where
--- The first term
--- The last term
So:


<span>(a) 5(3m+2) = 15m + 10
(b) 6(g+h) = 6g + 6h
(c) 4d+8 = 4(d + 2)
(d) 21p+35q = 7(3p + 5q)
(e) 18x+9y = 9(2x + y)</span>
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hope this helped:)