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Question

There are 100 students in science department, 150 students in computer science department in a higher secondary school and so on in an arithmetic sequence. What is the total number of students in 10 departments?

A
3,960
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B
3,250
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C
3,660
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D
3,560
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Solution

The correct option is B 3,250
The sequence is 100,150.....
a=100,d=50
First find the common difference:
an=a1+(n1)d
a10=100+(101)50
=100+9×50
a10=550
We know that, Sn=n2 [First term + Last term]
=102[100+550]
=5[650]
S10=3,250
So, the total number of students in 10 departments is 3,250.

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