a. 1+2+3+......+97+98+99 b. 2+4+6+......+94+96+98
Matematika
Ashleyag
Pertanyaan
a. 1+2+3+......+97+98+99
b. 2+4+6+......+94+96+98
b. 2+4+6+......+94+96+98
1 Jawaban
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1. Jawaban jpallo
a) 1 + 2 + 3 + ... + 99
U₁ = 1 = a
b = 2 - 1 = 1 ; n = ?
Un = a + (n -1) x b
99 = 1 + (n - 1) x 1
99 = 1 + n - 1
n = 99
Sn = n/2 x (a + Un)
= 99/2 x (1 + 99)
= 49,5 x 100
= 4950
b) 2 + 4 + 6 + ... + 98
U₁ = a = 2
b = 4 - 2 = 2
Un = a + (n - 1) x b
98 = 2 + (n - 1) x 2
98 = 2 + 2n - 2
98 = 2n
n = 49
Sn = n/2 x (a + Un)
= 49/2 x (2 + 98)
= 24,5 x 100
= 2450
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