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Pertanyaan

Let f ( n ) = ( n − 4 ) 2 + 2 . For which n ∈ N is f ( n ) > f ( n − 1 ) true?

Let . For which  is  true?

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A. Acfreelance

Master Teacher

Mahasiswa/Alumni UIN Walisongo Semarang

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benar bahwa

benar bahwa table attributes columnalign right center left columnspacing 0px end attributes row cell straight f open parentheses straight n close parentheses end cell greater than cell straight f open parentheses straight n minus 1 close parentheses end cell end table

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Subsitusi nilai ke maka di dapat Dapat dibuktikan dengan memisalkan n = 1 maka Jadi benar bahwa

Subsitusi nilai straight f open parentheses straight n close parentheses equals open parentheses straight n minus 4 close parentheses squared plus 2 ke  straight f open parentheses straight n close parentheses greater than straight f open parentheses straight n minus 1 close parentheses maka di dapat

table attributes columnalign right center left columnspacing 0px end attributes row cell straight f open parentheses straight n close parentheses end cell greater than cell straight f open parentheses straight n minus 1 close parentheses end cell row cell open parentheses straight n minus 4 close parentheses squared plus 2 end cell greater than cell open parentheses open parentheses straight n minus 4 close parentheses squared plus 2 right parenthesis minus 1 close parentheses end cell row cell straight n squared minus 8 straight n plus 18 end cell greater than cell straight n squared minus 8 straight n plus 17 rightwards arrow terbukti space end cell end table

Dapat dibuktikan dengan memisalkan n = 1 maka

table attributes columnalign right center left columnspacing 0px end attributes row cell straight f open parentheses straight n close parentheses end cell greater than cell straight f open parentheses straight n minus 1 close parentheses end cell row cell open parentheses straight n minus 4 close parentheses squared plus 2 end cell greater than cell open parentheses open parentheses straight n minus 4 close parentheses squared plus 2 right parenthesis minus 1 close parentheses end cell row cell 1 squared minus 8.1 plus 18 end cell greater than cell 1 squared minus 8.1 plus 17 end cell row 11 greater than cell 10 rightwards arrow terbukti space end cell end table

Jadi benar bahwa table attributes columnalign right center left columnspacing 0px end attributes row cell straight f open parentheses straight n close parentheses end cell greater than cell straight f open parentheses straight n minus 1 close parentheses end cell end table

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