Answer :
Final answer:
An arithmetic progression was used to calculate the total length of cabling needed for a bridge. The correct total length after 4 sequences is 1764km.
Explanation:
The subject at hand is indeed related to Mathematics, specifically an arithmetic sequence or arithmetic progression, considering the way each subsequent cable's length is calculated.
In the example provided, an arithmetic progression begins with 115 adding 32 to find the length of the subsequent cable. Thus, the first several terms of the sequence are as follows: 115, 147, 179.
To find the total length of 4 identical sequences, the formula for the sum of an arithmetic series is used: l = 4 · (sum of the elements in the sequence). For this particular sequence, the sum of the elements is 441, so l = 4 · 441 = 1764km, not 1323km. The mistake came from an incorrect calculation in the sum of the terms in the sequence.
Overall, the main answer was close, but a calculation mistake led to an error. The correct total length should be 1764km.
Learn more about Arithmetic Progression here:
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