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STALIN [3.7K]
3 years ago
9

Classrooms on one side of the drama building are all numbered with consecutive odd integers. If the first room, the room with th

e smallest classroom number, on this
side of the building is numbered d, write an expression ind for the sum of the first five classroom numbers in a row. Then simplify this expression
The sum of the first five classroom numbers in a row is
Mathematics
1 answer:
adelina 88 [10]3 years ago
6 0

Consecutive odd integers skip even numbers, so when you're describing these in general, there's a 2-number gap between them, such as 5, 7, 9, etc.

first room number:         d

second room number:   d+2

third room number:        d+2+2 = d+4

fourth room number:      d+4+2 = d+6

fifth room number:          d+8+2 = d+8

So the sum will be:

  d + d+2 + d+4 + d+6 + d+8 = 5d+20

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