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Find the Sum of the Following Aps: I) 2, 7, 12, 17, ……. to 19 Terms .

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Question

Find the sum of the following Aps:

i) 2, 7, 12, 17, ……. to 19 terms . 

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Solution

The given AP is 2, 7, 12, 17,………
Here, a= 2 and d = 7 - 2 = 5
Using the formula . `s_n = n/2 [ 2a + (n-1) d] ,`we have

`s_19 = 19/2 [ 2xx2 +(19-1) xx5]`

`= 19/2 xx (4+ 90)`

`= 19/2 xx 94`

= 893

 

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