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प्रश्न
Find the sum of the following APs.
−37, −33, −29, …, to 12 terms.
उत्तर
−37, −33, −29, …, to 12 terms
For this A.P.,
a = −37
d = a2 − a1
= (−33) − (−37)
= −33 + 37
= 4
n = 12
We know that,
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
Thus, the sum of first 12 terms is -180.
संबंधित प्रश्न
If the ratio of the sum of first n terms of two A.P’s is (7n +1): (4n + 27), find the ratio of their mth terms.
The ratio of the sum use of n terms of two A.P.’s is (7n + 1) : (4n + 27). Find the ratio of their mth terms
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Reason (R): The sum of first n odd natural numbers is n2.
