The sum of
1-0.5+0.25-0.125+.......∞ is
please with full explanation.
no spam
Answers
Answered by
2
1 - (0.5) + (0.25) - (0.125) + ... - (0.001953125)
= 1 - 1/2 + 1/4 - 1/8 + 1/16 - 1/32 + 1/64 - 1/128 + 1/256 - 1/512
= 1 + 1/4 + 1/16 + 1/64 + 1/256 - (1/2 + 1/8 + 1/32 + 1/128 + 1/512)
= 341/256 - 341/512
= 341/512
= 0.666015625
Similar questions