Question

What is 1+2+3+4+5+6+7......infinity?

Answer 1

Let, S= 1+2+3+4+…………infinity . In order to find the summation we should have an approach to calculate the values of the following infinite series, eg:

Let Sa=1–1+1–1+1–1+………………….infinity

or, Sa=1-(1–1+1–1+……..infinity)

or,Sa=1-Sa(by substitution)

or, Sa+Sa=1

or2*Sa=1

or, Sa=1/2