Question

Berapakah nilai P jika P= 1/3 + 1/9 + 1/27 + 1/81.............. (Dst)?

Answer 1

P = 1/3 +  1/9 + 1/27 + 1/81 + ...
P = 1/3 (1 + 1/3 + 1/9 + 1/27 + ...)
P = 1/3 (1+P)
3P = 1 + P
3P - P = 1
2P = 1
P = 1/2