SOLUTION: Prove that 0,3 < S < 0,4 S= 1/(1*4) + 1/(4*7) + 1/(7*10) + ... + 1/(2014*2017)

SOLUTION: Prove that 0,3 < S < 0,4 S= 1/(14) + 1/(47) + 1/(710) + ... + 1/(20142017)

Question 1023304: Prove that 0,3 < S < 0,4
S= 1/(1*4) + 1/(4*7) + 1/(7*10) + ... + 1/(2014*2017)
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
S = +...+
=*(+...+ )
= = S
But = 0.333168... >0.3, and also
....< 0.4
Hence,
0.3 < S < 0.4.
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