Diketahui :
51 + 53 + 55 + 57 + 59 ..... + 99
b = U2 - U1 = 53 - 51 = 2
a = 51
Un = 99
Jawab :
Un = a + (n-1) b
99 = 51 + (n-1) 2
99 = 51 + 2n - 2
99 = 2n + 49
99 - 49 = 2n
50 = 2n
50/2 = n
25 = n
Sn = n/2 × (a+Un)
= 25/2 × (51+99)
= 25/2 × 150
= 25 × 75
= 1875
Jadi, 51+53+55+57+59+....+99 = 1875
#backtoschool2019
Jawaban:
51 + 53 + 55 + 57 + 59 ..... + 99 = 1875
Penjelasan dengan langkah-langkah:
U1 = 51
b = 53-51 = 2
Sn = ?
Un = U1 + (n-1) b
99-51 = 2n - 2
48 = 2n - 2
48 + 2 = 2n
n = 25
Jadi
Un = U25 = 99
Sn = n/2 { U1 + Un }
S25 = 25/2 {51 + 99}
S25 = 25/2 x 150
S25 = 25 x 75
S25 = 1875
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Diketahui :
51 + 53 + 55 + 57 + 59 ..... + 99
b = U2 - U1 = 53 - 51 = 2
a = 51
Un = 99
Jawab :
Un = a + (n-1) b
99 = 51 + (n-1) 2
99 = 51 + 2n - 2
99 = 2n + 49
99 - 49 = 2n
50 = 2n
50/2 = n
25 = n
Sn = n/2 × (a+Un)
= 25/2 × (51+99)
= 25/2 × 150
= 25 × 75
= 1875
Jadi, 51+53+55+57+59+....+99 = 1875
#backtoschool2019
Jawaban:
51 + 53 + 55 + 57 + 59 ..... + 99 = 1875
Penjelasan dengan langkah-langkah:
U1 = 51
b = 53-51 = 2
Un = 99
Sn = ?
Un = U1 + (n-1) b
99 = 51 + (n-1) 2
99-51 = 2n - 2
48 = 2n - 2
48 + 2 = 2n
50 = 2n
n = 25
Jadi
Un = U25 = 99
Sn = n/2 { U1 + Un }
S25 = 25/2 {51 + 99}
S25 = 25/2 x 150
S25 = 25 x 75
S25 = 1875