Find the missing term.61, 202, 625, 1894, ?, 17122
Question
Find the missing term.61, 202, 625, 1894, ?, 17122
Solution
The given sequence is 61, 202, 625, 1894, ?, 17122.
To find the missing term, we need to identify the pattern or rule that the sequence follows.
By observing the sequence, it seems like each term is approximately three times the previous term. However, it's not exactly three times.
Let's try to find the exact relationship between each term and the previous term:
202/61 ≈ 3.31 625/202 ≈ 3.09 1894/625 ≈ 3.03
The ratios are getting closer to 3, which suggests that the ratio between each term and the previous term might be decreasing.
Let's assume that the ratio decreases by 0.1 each time. Then the ratio for the missing term would be 3.03 - 0.1 = 2.93.
So, the missing term would be 1894 * 2.93 ≈ 5547.42.
However, all the terms in the sequence are integers, so we need to round this to the nearest integer, which is 5547.
So, the missing term in the sequence is 5547.
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