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Find the sum (–11) + (–7) + (–3) + 1 + ........ to 12 terms.

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Question

Find the sum (–11) + (–7) + (–3) + 1 + ........ to 12 terms.

Sum
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Solution

Here, $$a = -11, \ d = 4,\ n = 12$$. 

$$S_{12} = \frac{12}{2}[2(-11) + 11(4)]$$

$$= 6(-22 + 44)$$

$$= 6(22)$$

$$= 132$$

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Chapter 10: Arithmetic Progression - EXERCISE 10B [Page 167]

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R.S. Aggarwal Mathematics [English] Class 10 ICSE
Chapter 10 Arithmetic Progression
EXERCISE 10B | Q 3. | Page 167
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