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in Differential equations by (64.8k points)

Find the value of [1007] + [503(3/4)] + [252(1/8)] + [126(5/16)] + .....

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Best answer

We have

[1007] + [503(3/4)] + [252(1/8)] + [126(5/16)] + .....

= [(2013 + 1)/2] + [(2013 + 2)/4] + [(2013 + 4)/8] + [(2013 + 8)/16] + ....

= 2013

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