3/2+3+9/2+6+...15 notasi sigma

NoTasi SigMa

3/2 + 3 + 9/2 + 6 + ... + 15
= 3(1/2 + 1 + 3/2 + 2 + ... + 5)

1/2 + 1 + 3/2 + ... + 5
a = 1/2
b = 1 - 1/2 = 1/2

Un = 5
a + (n - 1)b = 5
1/2 + 1/2 (n - 1) = 5
n = 10

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

Notasi sigma
10
∑ (3Un)
n = 1

=

10
∑ (3/2 n)
n = 1