Question

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

Answer 1

The total value of the sequence is  mathematically given as

498501

The sum of the sequence is..?

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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