The houses on a street are numbered from \(1\) to \(8\). Sheela’s house is numbered such that the sum of the numbers of the houses prior to Sheela’s house is equal to the sum of the numbers of the houses following Sheela’s house. Determine Sheela’s house number?
Answer:
The formula to find the sum of the first \(n\) terms of the A.P when the first and the last terms are known is given by:
Sheela’s house number \(=\)