The next two terms in the first sequence is 2 and -1 and in the second sequence is 625 and 3125.
We are given two patterns
1. 14, 11, 8, 5 …
2. 25, 125, …
We need to find the next two numbers in the pattern.
1. We can see that the common difference d in the arithmetic sequence is
d = 8 - 11 = - 3
So, the next terms will be:
5 - 3 = 2
2 - 3 = - 1
2. We can see that the common ratio will be 5
So, the next terms will be:
125 × 5 = 625
625 × 5 = 3125
Therefore, we get that, the next two terms in the first sequence is 2 and -1 and in the second sequence is 625 and 3125.
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