Verifying the mathematical identity or testing the mathematical theorem.

How the equation behaves under different conditions.

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Important Arithmetic Progression Solutions for Class 10th.

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

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A.P. : 37, 33, 29, …

Here, a = -37 and d = 33 – (-37) = 4.

The sum of n terms of an AP is Given by

S_n = n/2[2a + (n -1)d]

⇒ S₁₂ = 12/2[2(-37) + (12 -1)(4)]

⇒ S₁₂ = 6[- 74 + 44] = – 180