berapakah nilai dari 1 kuadrat - 2 kuadrat + 3 kuadrat - 4 kuadrat + 5 kuadrat - 6 kuadrat + ...+ 2017 kuadrat ?

1² - 2² + 3² - 4² + 5² - 6² + ... + 2017²

= 1² + (-2² + 3²) + (-4² + 5²) + ... + (-2016² + 2017²)

= 1 + ((3 - 2) . (3 + 2)) + ((5 - 4) . (5 + 4)) + ... + ((2017 - 2016) . (2017 + 2016))

= 1 + 5 + 9 + ... + 4033

a = 1

b = 4

Un = 4.033

a + (n - 1) . b = 4.033

1 + (n - 1) . 4 = 4.033

(n - 1) . 4 = 4.033 - 1

n - 1 = 4032/4

n = 1.008 + 1

n = 1.009

Sn = n/2 . (a + Un)

S1009 = 1.009/2 . (1 + 4033)

S1009 = 1.009/2 . 4.034

S1009 = 2.035.153

Kelas 9

Pelajaran Matematika

Bab 6 Barisan dan Deret Bilangan

Kata kunci : -

Kode kategorisasi : 9.2.6

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