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3 years ago

15

What is the sum of the sequence 1+3+5+7+...+99 Use Gauss's approach to find the following sum.

1 answer:

jenyasd209 [6]3 years ago

5 0

Gauss's approach is to add the same sequence in reverse order, namely

S=1+3+5+7+......+95+97+99
S=99+97+95+......+7+5+3+1
---------------------------------------
2S=(1+99)+(3+97)+(5+95)+......(95+5)+(97+3)+(99+1)=50*100=5000
=> sum = (2S)/2 = 5000/2=2500.

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Step 1: Question statement and Inferences

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Step-by-step explanation:

In direct variations, we would have:

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Where <em>k</em> is some constant.

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