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Answer :
To find the next number in the given sequence [tex]\(5, 25, 125, 625, 3125\)[/tex], let's identify the pattern.
First, we can observe that each number is obtained by multiplying the previous number by a certain value. Let's verify this:
1. [tex]\(25 = 5 \times 5\)[/tex]
2. [tex]\(125 = 25 \times 5\)[/tex]
3. [tex]\(625 = 125 \times 5\)[/tex]
4. [tex]\(3125 = 625 \times 5\)[/tex]
Here, we see that each term is obtained by multiplying the previous term by 5. This means the sequence is a geometric sequence where each term is 5 times the previous term.
To find the next number after 3125, we multiply 3125 by 5:
[tex]\[3125 \times 5 = 15625\][/tex]
Therefore, the next number in the sequence is [tex]\(15625\)[/tex].
First, we can observe that each number is obtained by multiplying the previous number by a certain value. Let's verify this:
1. [tex]\(25 = 5 \times 5\)[/tex]
2. [tex]\(125 = 25 \times 5\)[/tex]
3. [tex]\(625 = 125 \times 5\)[/tex]
4. [tex]\(3125 = 625 \times 5\)[/tex]
Here, we see that each term is obtained by multiplying the previous term by 5. This means the sequence is a geometric sequence where each term is 5 times the previous term.
To find the next number after 3125, we multiply 3125 by 5:
[tex]\[3125 \times 5 = 15625\][/tex]
Therefore, the next number in the sequence is [tex]\(15625\)[/tex].
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