In a previous question of similar nature, it was mentioned that "The GRE will never give you some values of a sequence and expect you to determine the general pattern of that sequence (regardless of how obvious that pattern made seem)."

Based on the above Please clarify if this answer will be C or D.
You can refer to the GRE PREMIUM Quant Question Banks - Topic-Wise >> sequence and Series >> QCQ>> 15th question

The assertion that the GRE does not ask in the question what is essentially a guess is totally true. The questions are conceived to be solved in two minutes on average and always in at least two ways, following multiple approaches.

Now This question is not different

The answer is C and no doubt on that



You are given a sequence:
25, 5, 75, 1, 1.25, 1.5, 1.75, 2, ...


Step-by-Step Solution:

1. Separate the sequence into two parts:
- Odd positions (1st, 3rd, 5th, ...): 25, 75, 1.25, 1.75, ...
- Even positions (2nd, 4th, 6th, ...): 5, 1, 1.5, 2, ...

2. Focus on the even-positioned terms (since 78 is even):
- 2nd term: **5**
- 4th term: **1**
- 6th term: **1.5**
- 8th term: **2**
- 10th term: **2.5**
- ...

Pattern: After the **4th term (which is 1), each even term increases by +0.5.

3. Find the 78th term:
- The 78th term is the **39th even term** (since 78 ÷ 2 = 39).
- The pattern starts at the **4th term (1)**, so we calculate:
- **Term = 1 + 0.5 × (number of steps after 4th term)**
- Number of steps = (78 - 4) / 2 = 37 steps
- 78th term = 1 + 0.5 × 37 = 1 + 18.5 = 19.5

4. Compare Quantity A and B:
- Quantity A (78th term) = 19.5
- Quantity B = 19.5

The answer is C