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What is the correct answer for the sum of the sequence 3/4 added 120 times?

  1. 60

  2. 75

  3. 90

  4. 100

The correct answer is: 90

To determine the sum of the sequence where the fraction 3/4 is added 120 times, you can use the formula for the sum of repeated additions. If you take a number and add it to itself multiple times, the total sum can be calculated by multiplying that number by how many times it is added. In this case, you multiply 3/4 by 120: (3/4) * 120 = 3 * 120 / 4 Calculating this step by step: 1. Multiply 3 by 120, which equals 360. 2. Then divide 360 by 4, which gives you 90. Thus, the total sum of the sequence 3/4 added 120 times equals 90. This matches the correct answer within the options listed. The other options do not reflect accurate calculations based on the multiplication and division of the initial fraction, confirming that 90 is indeed the sum sought for this specific sequence.