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What is the Sum of First N Terms of the Ap A, 3a, 5a, ….. - Mathematics

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प्रश्न

What is the sum of first n terms of the AP a, 3a, 5a, …..

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उत्तर

The given AP is 3a,5a,........
Here,
First term, A = a
Common difference, D = 3a - a = 2a
 ∴ Sum of the n terms, n S

`= n/2 [2xx a+ (n-1) xx 2a]          { s_n = n/2 [ 2A +(n-1) D]}`

`= n/2 (2a + 2an -2a )`

`= n/2 xx 2 an`

= an2

Hence, the required sum is an2 .

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अध्याय 11: Arithmetic Progression - Exercises 3

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आर.एस. अग्रवाल Mathematics [English] Class 10
अध्याय 11 Arithmetic Progression
Exercises 3 | Q 9

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