Kunci Jawaban Matematika Kelas 10 SMA Kurikulum Merdeka Halaman 53 Latihan 2.3

r = 3

Sn = 9.837

Sn = a (rn - 1)/r – 1

9.837 = 9 (3n - 1)/2

9.837 x 2 = 9 (3n - 1)

19.674 = 9(3n - 1)

19.674/9 = (3n – 1)

2.186 = (3n - 1)

2.186 + 1 = 3n

2.187 = 3n

n = 13

• Kunci Jawaban Matematika Kelas 10 SMA Kurikulum Merdeka Halaman 45 Barisan Aritmetika dan Geometri

3. Diketahui deret geometri berikut ini: 3/2 + 3 + 6 + 12 + … + Y = 762/4

Tentukan nilai Y.

Jawaban:

a = 3/2

r = 6/3 = 2

Sn = a (rn - 1)/r – 1

764/4 = 3/2(2n - 1)/2 – 1

764 x 2 = 4 x 3(2n - 1)/1

1.524 = 12 (2n - 1)

1.524/12 = (2n - 1)

127 = 2n – 1

127 + 1 = 2n

128 = 2n

n = 7

Y = U7 = ar6 = 3/2 . 26 = 3 . 25 = 3 . 32 = 96

• Kunci Jawaban Matematika Kelas 10 SMA Kurikulum Merdeka Halaman 45 Latihan 2.2

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