Use the approach in Gauss's Problem to find the following sums of arithmetic sequences.

Mathematics

1 answer:

Svet_ta [14]1 year ago

6 0

The total value of the sequence is mathematically given as

498501

<h3>The sum of the sequence is..?</h3>

Generally, the equation for Gauss's Problem is mathematically given as

The sum of an arithmetic series;

1+2+3+...+n= n(n+1)/2

Given an arithmetic sequence,

1+2+3+...+998,

Here,

n = 998

1+2+3+...+n=n(n+1)/2

1+2+3+...+998=98(998 + 1)/2

998 x 999 1+2+3+...+998 =2

1+2+3+...+998 = 498501

In conclusion, 498501 is the total value of the sequence.

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