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Notasi sigma yagng ekuivalen dengan  adalah...

Pertanyaan

Notasi sigma yagng ekuivalen dengan size 14px 2 size 14px space size 14px sum from size 14px k size 14px equals size 14px 1 to size 14px n of size 14px k size 14px left parenthesis size 14px 2 size 14px k size 14px plus size 14px 5 size 14px right parenthesis size 14px space size 14px plus size 14px 2 size 14px space size 14px sum from size 14px k size 14px equals size 14px 1 to size 14px 51 of size 14px left parenthesis size 14px k size 14px plus size 14px 3 size 14px right parenthesis size 14px space size 14px plus size 14px 3 size 14px n adalah...

  1. size 14px sum from size 14px k size 14px equals size 14px 1 to size 14px n of 4 k squared plus 12 k plus 3 size 14px space 

  2. begin mathsize 14px style sum from k equals 1 to n of 4 k squared plus 10 k plus 3 n space end style 

  3. size 14px sum from size 14px k size 14px equals size 14px 1 to size 14px n of size 14px k size 14px left parenthesis size 14px 4 size 14px k size 14px plus size 14px 9 size 14px right parenthesis size 14px space 

  4. size 14px sum from size 14px k size 14px equals size 14px 1 to size 14px n of size 14px left parenthesis size 14px 4 size 14px k size 14px plus size 14px 3 size 14px right parenthesis to the power of size 14px 2 size 14px space 

  5. size 14px sum from size 14px k size 14px equals size 14px 1 to size 14px n of size 14px left parenthesis size 14px 2 size 14px k size 14px plus size 14px 3 size 14px right parenthesis to the power of size 14px 2 size 14px space 

Pembahasan Video:

Pembahasan Soal:

begin mathsize 14px style 2 sum from k equals 1 to n of k left parenthesis 2 k plus 5 right parenthesis plus 2 sum from k equals 1 to n of left parenthesis k plus 3 right parenthesis plus 3 n equals sum from k equals 1 to n of open parentheses 4 k squared plus 10 k close parentheses plus sum from k equals 1 to n of left parenthesis 2 k plus 6 right parenthesis plus stack sum 3 with k equals 1 below and n on top equals sum from k equals 1 to n of open parentheses 4 k squared plus 10 k plus 2 k plus 6 plus 3 close parentheses equals sum from k equals 1 to n of open parentheses 4 k squared plus 12 k plus 9 close parentheses equals stack sum open parentheses 2 k plus 3 close parentheses squared with k equals 1 below and n on top end style 

Jadi, jawaban yang tepat adalah E.

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F. Freelancer6

Terakhir diupdate 03 Mei 2021

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Notasi sigma yan gekuivalen dengan  adalah...

Pembahasan Soal:

0

Roboguru

Notasi sigma yang ekuivalen dengan  adalah...

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sum from k equals 5 to 9 of open parentheses 2 k minus 5 close parentheses squared end cell equals cell sum from k equals 5 minus 4 to 9 minus 4 of open parentheses 2 open parentheses k plus 4 close parentheses minus 5 close parentheses squared end cell row blank equals cell sum from k equals 1 to 5 of open parentheses 2 k plus 8 minus 5 close parentheses squared end cell row blank equals cell sum from k equals 1 to 5 of open parentheses 2 k plus 3 close parentheses squared end cell row blank equals cell sum from k equals 1 to 5 of open parentheses 4 k squared plus 12 k plus 9 close parentheses end cell row blank equals cell sum from k equals 1 to 5 of 4 k squared plus sum from k equals 1 to 5 of left parenthesis 12 k plus 9 right parenthesis end cell row blank equals cell 4 sum from k equals 1 to 5 of k squared plus sum from k equals 1 to 5 of 3 left parenthesis 4 k plus 3 right parenthesis end cell row blank equals cell 4 sum from k equals 1 to 5 of k squared plus 3 sum from k equals 1 to 5 of left parenthesis 4 k plus 3 right parenthesis end cell end table end style 

Jadi, jawaban yang tepat adalah D.

2

Roboguru

Buktikan bahwa:

Pembahasan Soal:

begin mathsize 14px style sum from k equals 10 to 20 of left parenthesis k squared plus 20 k plus 103 right parenthesis plus sum from k equals 10 to n minus 11 of left parenthesis k squared plus 42 k plus 444 right parenthesis equals sum from k equals 10 plus 10 to 20 plus 10 of left parenthesis left parenthesis k minus 10 right parenthesis squared plus 20 left parenthesis k minus 10 right parenthesis plus 103 right parenthesis space space space space space space plus sum from k equals 10 plus 21 to n minus 11 plus 21 of left parenthesis left parenthesis k minus 21 right parenthesis squared plus 42 left parenthesis k minus 21 right parenthesis plus 444 right parenthesis equals sum from k equals 20 to 30 of left parenthesis k squared minus 20 k plus 100 plus 20 k minus 200 plus 103 right parenthesis space space space space space space plus sum from k equals 31 to n plus 10 of left parenthesis k squared minus 42 k plus 441 plus 42 k minus 882 plus 444 right parenthesis equals sum from k equals 20 to 30 of left parenthesis k squared plus 3 right parenthesis plus sum from k equals 31 to n plus 10 of left parenthesis k squared plus 3 right parenthesis equals sum from k equals 20 to n plus 10 of left parenthesis k squared plus 3 right parenthesis subscript left parenthesis Terbukti right parenthesis end subscript end style   

0

Roboguru

Diketahui . Nilai dari  adalah...

Pembahasan Soal:

begin mathsize 14px style table attributes columnalign right center left columnspacing 0px end attributes row cell sum from n equals 6 to 25 of left parenthesis 2 plus p i right parenthesis end cell equals cell sum from n equals 6 to 25 of 2 plus sum from n equals 6 to 25 of p i end cell row blank equals cell left parenthesis 25 minus 6 plus 1 right parenthesis cross times 2 plus 10 end cell row blank equals cell 20 cross times 2 plus 10 end cell row blank equals cell 40 plus 10 end cell row blank equals 50 end table end style 

Jadi, jawaban yang tepat adalah A.

3

Roboguru

Buktikan bahwa:

Pembahasan Soal:

begin mathsize 14px style sum from i equals 1 to 48 of left parenthesis 2 i plus 5 right parenthesis plus sum from i equals 60 to n plus 9 of left parenthesis 2 i minus 17 right parenthesis equals sum from i equals 1 plus 2 to 48 plus 2 of left parenthesis 2 left parenthesis i minus 2 right parenthesis plus 5 right parenthesis plus sum from i equals 60 minus 9 to n plus 9 minus 9 of left parenthesis 2 left parenthesis i plus 9 right parenthesis minus 17 right parenthesis equals sum from i equals 3 to 50 of left parenthesis 2 i minus 4 plus 5 right parenthesis plus sum from i equals 51 to n of left parenthesis 2 i plus 18 minus 17 right parenthesis equals sum from i equals 3 to 50 of left parenthesis 2 i plus 1 right parenthesis plus sum from i equals 51 to n of left parenthesis 2 i plus 1 right parenthesis equals sum from i equals 3 to n of left parenthesis 2 i plus 1 right parenthesis subscript left parenthesis Terbukti right parenthesis end subscript end style  

0

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