What is the sum of series 1 2 3 4 5 6. Infinity?

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Sum of Series 1 2 3 4 5 6. Infinity

Arithmetic Series: The given series is an arithmetic series as the difference between consecutive terms is constant.

Formula: The formula to find the sum of an arithmetic series is:

Sum = n/2 × [2a + (n-1)d]

Where n is the number of terms, a is the first term, and d is the common difference.

Application of Formula: Applying the formula, we get:

Sum = 6/2 × [2(1) + (6-1)1]

Sum = 3 × 7

Sum = 21

Infinite Series: The given series goes up to 6 but has infinity written beside it. This means that the series is extended to an infinite number of terms.

Divergent Series: As the series is an arithmetic series with a common difference of 1, the sum of the series will increase without bound as more terms are added. Hence, the sum of the infinite series does not exist or is said to be divergent.

Therefore, the sum of the series 1 2 3 4 5 6. Infinity is 21 for the given finite terms, but the sum of an infinite number of terms does not exist.

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-1/12

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- 1/12 ...,,,,,,......it was given by my favorite mathematican RAMANUJAN

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