To long isiin ya beserta jawabannya
Matematika
bagas1074
Pertanyaan
To long isiin ya beserta jawabannya
1 Jawaban
-
1. Jawaban iyammariyam
NO. 1
U4 = 20
U9 = 45
Un = a + ( n-1 ) b
20 = a + 3b ⇒ a = 20 - 3b
45 = a + 8b
45 = 20 - 3b + 8b
45 = 20 + 5b
5b = 45 - 20
5b = 25
b = 5
a = 20 - 3b
= 20 - 3( 5 )
= 20 - 15
= 5
U100 = 5 + 99 ×5
= 495
= 500
S16 = n/2 ( a + Un )
= n/2 (a + a + 15b)
= n/2 ( 2a +15b)
= 16/2 ( 2×5 + 15×5 )
= 8 ( 10 + 75 )
= 8 ( 85 )
= 680
NO. 2
U3 = 11
U9 = 29
11 = a + 2b ⇒ a = 11 - 2b
29 = a + 8b
29 = 11 - 2b + 8b
29 = 11 + 6b
6b = 29 - 11
6b = 18
b = 3
a = 11 - 2b
a = 11 - 2×3
a = 11 - 6
a = 5
rumus ⇒ Un = 5 + ( n - 1 )3
= 5 + 3n - 3
= 2 + 3n
S20 = n/2 ( 2a + 19b )
= 20/2 ( 2×5 + 19×3 )
= 10 (10 +57 )
= 10 ( 67 )
= 670
NO .3
a = 20
U2 = 24
24 = 20 + b
b = 24 - 20
b = 4
S10 = n/2 ( 2a + 9b )
= 10/2 ( 2×20 + 9×4 )
= 5 ( 40 + 36 )
= 5 ( 76 )
= 380
jadi jumlah penonton seluruhnya adalah 380