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Question

In a nursery, 37 plants have been arranged in the first row, 35 in the second, 33 in the third and so on. If there are 5 plants in last row, how many plants are there in the nursery? [3 MARKS]

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Solution

Formula: 0.5 Mark each
Concept: 1 Mark
Application: 2 Marks

The given sequence is: 37, 35, 33 ........., 5

a=37, d=2, an=5

an=a+(n1)d

5=37+((n1)×2)

5=37+22n

5=392n

2n=34

n=17

Sn=n2(a+an)

172(37+5)

172×42

=17×21

=357

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