(Almost) Impossible Integrals, Sums, and Series (Problem Books in Mathematics)

(Almost) Impossible Integrals, Sums, and Series (Problem Books in Mathematics)

Matematika Deret geometri
2+3+2/9+…
nilai S6 adalah
Mohon bantuannya kak makasii​

Deret geometri
2+3+2/9+…
nilai S6 adalah
Mohon bantuannya kak makasii​

Jawab:

U₁ = 2

U₂ = 3

U₃ = 9/2

r = U₂/U₁ (bisa juga U₃/U₂ dst)

 = 3/2

karena r > 1, maka rumus Sn:

[tex]Sn=\frac{U1(r^{n}-1) }{r-1}[/tex]

[tex]S6=\frac{2((\frac{3}{2}) ^{6}-1) }{\frac{3}{2} -1}[/tex]

[tex]=\frac{2(\frac{3^{6} -2^{6} }{2^{6} } ) }{\frac{1}{2} }[/tex]

[tex]=4(\frac{729-64}{64} )[/tex]

[tex]=\frac{665}{16}[/tex]

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