Question

Oblicz sumę wyrazów ciągu arytmetycznego .

Answer 1

An = a1 + (n - 1)r
r = 1/3 - 1/6 = 1/6
an = 5/3
a1 = 1/6
5/3 = 1/6 + (n - 1)1/6
5/3 = 1/6 + 1/6n - 1/6
5/3 = 1/6n
5/3 : 1/6 = n
10 = n
S = (a1 + an)/2 x n
S = (1/6 + 5/3)/2 x 10
S = 11/6 x 5 = 55/6 = 9 i 1/6