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Question

What is the sum of 12 odd numbers 1,3,5,7,9.....?

A
12
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B
144
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C
141
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D
124
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Solution

The correct option is A 144
First term of the given arithmetic series =1
Second term of the given arithmetic series =3
Third term of the given arithmetic series =5
Fourth term of the given arithmetic series =7
Now, Second term - First term =31=2
Third term - Second term =53=2
Therefore, common difference of the given arithmetic series is 2.
The number of terms of the given A.P. series (n)=12
We know that the sum of first n terms of the Arithmetic Progress, whose first term=a and common difference=d is
Sn=n2[2a+(n1)d]
S12=122[2×1+(121)2]
S12=6[2+22]
S12=144

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