Question

In 1993, a certain state predicted the destruction of historie buildings per year over the next 9 years.

Answer 1

275 historic buildings

Explanations:

The given concept will form an arithmetic sequence

Given the following parameters:

First-term "a" = 5

Number of terms "n" = 2003 - 1993

Number of terms "n" = 10

common difference = 5

Determine the sum of terms for the whole period

`\begin{gathered} S_(10)=(n)/(2)(2a+(n-1)d) \\ S_(10)=(10)/(2)\lbrack2(5)+(10-1)\cdot5\rbrack \\ S_(10)=(10)/(2)\lbrack10+9(5)\rbrack \\ S_(10)=5\lbrack10+45\rbrack \\ S_(10)=5(55) \\ S_(10)=275historic\text{ building} \end{gathered}`

Hence by the end of 2003, 275 historic buildings would be lost