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Use​ Gauss's approach to find the following sum​ (do not use​ formulas):

 

4+9+14+19+...+59.

 

The sum of the sequence is

 Sep 21, 2017
 #1
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[59 - 4] / 5  + 1 =12 terms in the sequence

 

[59 + 4]  x  12/2 =

    63   x         6     =378

 Sep 22, 2017
 #2
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find the following sum

Use​ Gauss's approach to find the following sum​ (do not use​ formulas):

4+9+14+19+...+59.

The sum of the sequence is ?

 

4+9+14+19+24+29+34+39+44+49+54+59(reverse)59+54+49+44+39+34+29+24+19+14+9+4(sum)63+63+63+63+63+63+63+63+63+63+63+63

 

The sum of the sequence is 12632=378

 

laugh

 Sep 22, 2017

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