Answer :
a. The common ratio of the given sequence a={5, 25, 125, 625, 3125, ...} is 5. b. The next five terms in the sequence are: 1. 15625 2. 78125 3. 390625 4. 1953125 5. 9765625
In the given sequence, each term is obtained by multiplying the previous term by the common ratio, which is 5. This means that each term is five times larger than the preceding term.
Starting with the first term, 5, we can calculate the next term by multiplying 5 by the common ratio:
5 * 5 = 25
Similarly, we can calculate the subsequent terms:
25 * 5 = 125
125 * 5 = 625
625 * 5 = 3125
By continuing this pattern, we find the next five terms in the sequence: 15625, 78125, 390625, 1953125, and 9765625.
Each term in the sequence is obtained by multiplying the previous term by the common ratio, which ensures that the sequence follows a geometric pattern. In this case, the common ratio of 5 results in an exponential growth pattern where each term is five times larger than the previous term.
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