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

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

Matematika 2+6+18+.... Tentukan Berapa
Un=
U4=
5n=
S4=
Tolong bantu jawab dikumpulkan sekarang​

2+6+18+.... Tentukan Berapa
Un=
U4=
5n=
S4=
Tolong bantu jawab dikumpulkan sekarang​

Jawaban:

a.

[tex] \frac{2}{3} \times {3}^{n} [/tex]

b. 54

c.

[tex] {3}^{n} - 1[/tex]

d.

80

Penjelasan dengan langkah-langkah:

a= 2

r= 6/2= 3

a.

Un

=

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

b.

U4= 2/3 × 3⁴

= 2/3 × 81

= 2 × 27

= 54

c.

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

d.

S4= 3⁴-1

= 81-1

= 80

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