Matematika Sekolah Menengah Pertama jika diketahui barisan aritmatika 24 21 18 15 .....tentukan jumlah 20 suku pertamanya​

jika diketahui barisan aritmatika 24 21 18 15 .....tentukan jumlah 20 suku pertamanya​

Penjelasan dengan langkah-langkah:

24,21,18,15

a = 24

b = 21 - 24

b = -3

n = 20

Un = a + (n - 1)b

U20 = 24 + (20 - 1)-3

U20 = 24 + (19)-3

U20 = 24 + (-57)

U20 = -33

Sn = n/2 (2a + (n - 1)b)

S20 = 20/2 (2(24) + (20 - 1)-3)

S20 = 10 (48 + (19)-3)

S20 = 10 (48 + (-57)

S20 = 10 (-9)

S20 = -90

Jawaban:

24, 21, 18,15,,,

a = 24

b = 21-24 = -3

U20 = a + b19

= 24 + (-3)(19)

= 24 - 57

= - 33

S20 = n/2 × ( a + Un)

S20 = 20/2 × ( 24 + (-33))

S20 = 10 × -9

S20 = -90

jadi jumlah 20 suku pertama = -90

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