Find S infinity for 1 - 1/2 + 1/4 - 1/8 +....
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Answered by
19
Answer:
2/3
Step-by-step explanation:
Find S infinity for 1 - 1/2 + 1/4 - 1/8 +....
1 - 1/2 + 1/4 - 1/8 +....
this is an GP (geometric Progression)
where a = 1 , r = - 1/2
Sum of an Infinite GP is given by
S = a /(1 - r) if -1 < r < 1
S = 1 /(1 - (-1/2))
S = 1/(3/2)
S = 2/3
Hence Sum of infinity for 1 - 1/2 + 1/4 - 1/8 +.... = 2/3
Answered by
2
Answer:
2/3
Step-by-step explanation:
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