Diketauhi barisan aritmatika, jika U3=42, U5+U9=52 maka S20=....???
Matematika
Yasmeim
Pertanyaan
Diketauhi barisan aritmatika, jika U3=42, U5+U9=52 maka S20=....???
1 Jawaban
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1. Jawaban alyaafz
U3 = a+2b = 42
U5+U9 = a+4b+a+8b = 2a + 12b
a+2b = 42 |x2|
2a+12b = 52 |x1|
2a+4b=84
2a+12b=52
----------------- -
8b = -32
b = 4
2a+12b=52
2a+48=52
2a = 52-48
a = 4 :2 = 2
U20 = a+19b
= 2+19(4)
= 2+76
= 78
maaf klo salah ;D