Maya A

13 September 2023 11:23

Iklan

Iklan

Maya A

13 September 2023 11:23

Pertanyaan

Suatu Suku memiliki rumus sebagai berikut: Un:N²+n-4 Tentukan A. U15= B. S 12 =


6

1

Jawaban terverifikasi

Iklan

Iklan

Sumber W

Community

13 September 2023 11:53

Jawaban terverifikasi

<p>a. U<sub>n</sub> = n<sup>2</sup> + n - 4</p><p>&nbsp; &nbsp; &nbsp;U<sub>15 </sub>= 15<sup>2</sup> + 15 - 4</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 225 + 15 - 4</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 240 - 4</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 236</p><p>b. Mencari S<sub>12</sub></p><p>&nbsp; &nbsp; &nbsp;U<sub>n</sub> = n<sup>2</sup> + n - 4</p><p>&nbsp; &nbsp; &nbsp; U<sub>1</sub> = 1<sup>2</sup> + 1 - 4</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= -2</p><p>&nbsp; &nbsp; &nbsp; &nbsp;U<sub>2</sub> = 2<sup>2</sup> + 2 - 4</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 4 + 2 - 4</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 2</p><p>&nbsp; &nbsp; &nbsp; &nbsp;b = 2 - (-2) = 2 + 2 = 4</p><p>&nbsp; &nbsp; &nbsp; &nbsp; n = 12</p><p>&nbsp; &nbsp; &nbsp; &nbsp; S<sub>n</sub> = n/2 (2a + (n - 1)b)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; S<sub>12</sub> = 12/2 (2(-2) + (12 - 1)4)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 6 (-4 + (11)4)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 6 (-4 + 44)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 6 (40)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 240</p><p>&nbsp; &nbsp; &nbsp; Jadi, S<sub>12</sub> adalah 240</p>

a. Un = n2 + n - 4

     U15 = 152 + 15 - 4

             = 225 + 15 - 4

             = 240 - 4

             = 236

b. Mencari S12

     Un = n2 + n - 4

      U1 = 12 + 1 - 4

             = -2

       U2 = 22 + 2 - 4

             = 4 + 2 - 4

             = 2

       b = 2 - (-2) = 2 + 2 = 4

        n = 12

        Sn = n/2 (2a + (n - 1)b)

        S12 = 12/2 (2(-2) + (12 - 1)4)

                = 6 (-4 + (11)4)

                = 6 (-4 + 44)

                 = 6 (40)

                 = 240

      Jadi, S12 adalah 240


Maya A

13 September 2023 12:09

Terimakasih banyak kakak

Iklan

Iklan

lock

Yah, akses pembahasan gratismu habis

Dapatkan akses pembahasan sepuasnya
tanpa batas dan bebas iklan!

Mau pemahaman lebih dalam untuk soal ini?

Tanya ke Forum

Biar Robosquad lain yang jawab soal kamu

Tanya ke Forum

Roboguru Plus

Dapatkan pembahasan soal ga pake lama, langsung dari Tutor!

Chat Tutor

Perdalam pemahamanmu bersama Master Teacher
di sesi Live Teaching, GRATIS!

Pertanyaan serupa

Sederhanakanlah 20^x+3. 5^2x+5. 6^2x-1.

14

0.0

Jawaban terverifikasi