How many terms of the A.P. : -15, -13, -11, ..... are needed to make the sum -55? Explain the reason.

The given AP is–

–15, –13, –11, ...

 

Here first term ( ) = –15 and the common difference ( ) = 2

 

Also given that, sum of  n  terms = –55

i.e. S   = –55

https://s3mn.mnimgs.com/img/shared/discuss_editlive/1910069/2012_03_07_12_21_50/mathmlequation3796740750599582185.png

Hence sum of 5 terms and 11 terms of the given A. P. is –55.

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