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Hitunglah jumlah setiap deret aritmetika berikut. c. 1 + 2 ​ 1 ​ + ( − 1 ) + 1 − 2 ​ 1 ​ + ... sampai 6 suku.

Hitunglah jumlah setiap deret aritmetika berikut.

c.  sampai  suku. 

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M. Nasrullah

Master Teacher

Mahasiswa/Alumni Universitas Negeri Makassar

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Jadi jumlah 6 suku pertama adalah

begin mathsize 14px style a equals fraction numerator 1 over denominator 1 plus square root of 2 end fraction end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row b equals cell open parentheses negative 1 close parentheses minus fraction numerator 1 over denominator 1 plus square root of 2 end fraction end cell row blank equals cell fraction numerator negative 1 minus square root of 2 minus 1 over denominator 1 plus square root of 2 end fraction end cell row blank equals cell fraction numerator negative square root of 2 minus 2 over denominator 1 plus square root of 2 end fraction end cell end table end style

begin mathsize 14px style n equals 6 end style

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell S subscript n end cell equals cell n over 2 left parenthesis 2 a plus open parentheses n minus 1 close parentheses b right parenthesis end cell row cell S subscript 6 end cell equals cell 6 over 2 open parentheses 2 open parentheses fraction numerator 1 over denominator 1 plus square root of 2 end fraction close parentheses plus 5 open parentheses fraction numerator negative 2 minus square root of 2 over denominator 1 plus square root of 2 end fraction close parentheses close parentheses end cell row blank equals cell 3 open parentheses fraction numerator 2 over denominator 1 plus square root of 2 end fraction plus fraction numerator negative 10 minus 10 square root of 2 right parenthesis over denominator 1 plus square root of 2 end fraction close parentheses end cell row blank equals cell 3 open parentheses fraction numerator negative 8 minus 10 square root of 2 over denominator 1 plus square root of 2 end fraction close parentheses end cell row blank equals cell fraction numerator negative 24 minus 30 square root of 2 over denominator 1 plus square root of 2 end fraction end cell end table end style

Jadi jumlah 6 suku pertama adalah

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row blank blank cell fraction numerator negative 24 minus 30 square root of 2 over denominator 1 plus square root of 2 end fraction end cell end table end style

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Tentukan jumlah dari setiap deret aritmetika berikut ini. a. 3 π ​ + 3 2 π ​ + π + 3 4 π ​ + ... + 3 13 π ​

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