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Arithmetic Progressions

Question
CBSEENMA10007568

Find the sum of the following APs:
–37, –33, –29, . . ., to 12 terms.

Solution

Here, a = –31
d = –33 – (–37)
= – 33 + 37 = 4
n = 12
We know that,
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= 6 [-74 + 11 x 4]
= 6 x [-74 + 44]
= 6 x (-30) = -180

Hence, the sum of First 12 terms of the given
A.P. = –180