find the sum 1 + 4 + 16 + · · · + 65,536

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02-12-2016
Mathematics

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find the sum 1 + 4 + 16 + · · · + 65,536

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Jane80 Jane80 · Answer 1 · 2016-12-05T12:49:35+01:00

Jane80 Jane80

05-12-2016

65,536÷4
=16,384
----------
16,384÷4
=4,096
---------
4,096÷4
=1,024
---------
1,024÷4
=256
---------
256÷4
=64
--------
64÷4=16
16÷4=4
4÷4=1
there are 8 numbers
a(1-q^n)÷q-1=1(1-4^7)÷(1-4)=1-16384\-3=-16383\-3=5461

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