Sequence Calculation Explained

This question asks us to find the value represented by the question mark (‘?’) in a given numerical expression. The expression involves a series of numbers connected by subtraction operators.

The expression presented is:

113 – 162 – 152 – 142 = ?

Performing the Sequence Calculation

To solve this, we apply the standard order of operations for subtraction, working from left to right.

• First, we calculate the difference between the first two numbers:

  $113 - 162 = -49$

• Next, we subtract the third number from this intermediate result:

  $-49 - 152 = -201$

• Finally, we subtract the fourth number from the previous result:

  $-201 - 142 = -343$

Therefore, the direct calculation of the expression is:

$113 - 162 - 152 - 142 = -343$

Analyzing the Provided Options and Answer

The calculated result is -343. However, when comparing this result with the options provided:

• Option 1: -556
• Option 2: 556
• Option 3: -654
• Option 4: 654
• Option 5: None of these.

Our calculated value of -343 does not match any of the first four options, nor does it align with the provided correct answer, which is 654.

This discrepancy suggests that the question might be intended to follow a different pattern or rule not evident from the standard interpretation of the notation. It's possible there is a misunderstanding of the intended calculation method, or perhaps an error in the question's formulation or the provided answer key.

Based on standard mathematical conventions, the calculation yields -343. Without further clarification on the specific pattern or rules intended for this problem, it is not possible to logically derive the answer 654 from the given expression.