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Evaluate the following expression:

[tex]\[ \frac{(8 + 7 + \ldots + 7)}{23 \text{ times}} \times 1000 \][/tex]

a) 9
b) 11
c) 7

Sagot :

To find the solution to the given mathematical expression, we need to consider the following steps:

1. Identify the given series and its properties:
- The series consists of 23 terms.
- The first term is 8.
- The remaining terms, after the first term, are all 7.

2. Compute the sum of the series:
- The first term is 8.
- There are 22 terms of 7 each.
- To find the sum of the series, add the first term (8) to the sum of the 22 terms of 7.

3. Calculate the sum:
- The sum of the 22 terms of 7 is given by multiplying 7 by 22:
\(22 \times 7 = 154\).
- Then, add the first term (8) to this sum:
\(8 + 154 = 162\).

4. Multiply the sum by 1000:
- \(162 \times 1000 = 162000\).

Therefore, the final result of the given expression is:

[tex]\[ \boxed{162000} \][/tex]

After reviewing the options provided (b) 9, (c) 11, (e) 7, it is clear that none of them directly correlates to the final computed result. The final numeric answer related to the question would thus be [tex]\( \boxed{162000} \)[/tex].