19.
Deret geometri tak hingga
4^-1 + 4^-2 + 4^-3 + ...
a = 4^-1 = 1/4
r = 4^-2 / 4^-1 = 4^-1 = 1/4
S~ = 4^-1 + 4^-2 + 4^-3 + ...
S~ = a/(1 - r) = (1/4) / (1 - 1/4) = 1/4 × 4/3
S~ =1/3
20.
Barisan Aritmatika
Sn = n² + 2n
Un
= Sn - S(n-1)
= n² + 2n - ((n - 1)² + 2(n - 1))
= n² + 2n - (n² - 2n + 1 + 2n - 2)
= n² + 2n - n² + 1
= 2n + 1
Un = 2n + 1
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19.
Deret geometri tak hingga
4^-1 + 4^-2 + 4^-3 + ...
a = 4^-1 = 1/4
r = 4^-2 / 4^-1 = 4^-1 = 1/4
S~ = 4^-1 + 4^-2 + 4^-3 + ...
S~ = a/(1 - r) = (1/4) / (1 - 1/4) = 1/4 × 4/3
S~ =1/3
20.
Barisan Aritmatika
Sn = n² + 2n
Un
= Sn - S(n-1)
= n² + 2n - ((n - 1)² + 2(n - 1))
= n² + 2n - (n² - 2n + 1 + 2n - 2)
= n² + 2n - n² + 1
= 2n + 1
Un = 2n + 1