[Kuis]
[tex] \: \: [/tex]
2² + 2³ + 2⁴ + ... + 2¹² = .....
Gunakan rumus deret geometri !
[tex] \: \: [/tex]
2² + 2³ + 2⁴ + ... + 2¹² = .....
Gunakan rumus deret geometri !
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Penjelasan dengan langkah-langkah:
DERET GEOMETRİ
2² + 2³ + 2⁴ + ... + 2¹² = ....
misal : 2² = p
maka,
2² + 2³ + 2⁴ + ... + 2¹²
= p + 2p + 4p + 8p + ... + 64p
a = p
r = 2p
p
r = 2
Sn = a × (rⁿ – 1)
r – 1
S11 = p × (2¹¹ – 1)
2 – 1
S11 = p × (2.048 – 1)
1
S11 = 2.047p
S11 = 2.047 × 2²
S11 = 2.047 × 4
S11 = 8.188
Jadi, jumlah dari 2² + 2³ + 2⁴ + ... + 2¹² = 8.188