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Arithmetic Series or Sum of Arithmetic Sequence:

Where:

= sum of the given arithmetic sequence

n = number of terms ⇒ 10,000

a₁ = first term in the sequence ⇒ 1

= last sequence/last term value ⇒ 10,000

Substitute:

= 5,000 (10,001)

Where:

= sum of the given arithmetic sequence

n = number of terms ⇒ 10,000

a₁ = first term in the sequence ⇒ 1

= last sequence/last term value ⇒ 10,000

Substitute:

= 5,000 (10,001)

**= 50,005,000****ANSWER: 50,005,000**n(n+1)/2 / n = the last term

thus (10,000 x 10001)/2

= 5000 x 10,001

= 50,005,000