The question is given from ncert Book of class 10th Chapter no. 5 Ex. 5.3 Q. 1 (ii). In the following question you have to find The sum of the A.P given above in the question give the answer of the question briefly.
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Given, −37, −33, −29 ,…, to 12 terms
For this A.P.,
first term, a = −37
And common difference, d = a2− a1
d= (−33)−(−37)
= − 33 + 37 = 4
n = 12
We know that, the formula for sum of nth term in AP series is,
Sn = n/2 [2a+(n-1)d]
S12 = 12/2 [2(-37)+(12-1)×4]
= 6[-74+11×4]
= 6[-74+44]
= 6(-30) = -180