Let us analyze the sequence. We can observe that the first four numbers in the sequence are all powers of 5. However, the first number is 1, and it might be bothering you on how to find the rule. But if you think of it deeply, 1 is also a power of 5. Always remember that all numbers raised to 0 are equal to 1. We can now think that the first number has 5 raised to 0. It means that the quantity of the sequence number minus 1 will be the power of 5 to get the specific number in the sequence. Let us give it a try.
Rule
Examples
We can see that the results are accurate. Therefore, the rule is true.
Now, let us solve for the fifth and sixth terms of the given sequence.
Solving
Fifth term = 625
Sixth term = 3125
If you want to find the other terms, just use the rule.
Answers & Comments
Answer:
1, 5, 25, 125, 625, 3125, ...
Step-by-step explanation:
Analyzing & Solving
Let us analyze the sequence. We can observe that the first four numbers in the sequence are all powers of 5. However, the first number is 1, and it might be bothering you on how to find the rule. But if you think of it deeply, 1 is also a power of 5. Always remember that all numbers raised to 0 are equal to 1. We can now think that the first number has 5 raised to 0. It means that the quantity of the sequence number minus 1 will be the power of 5 to get the specific number in the sequence. Let us give it a try.
Rule
Examples
We can see that the results are accurate. Therefore, the rule is true.
Now, let us solve for the fifth and sixth terms of the given sequence.
Solving
Fifth term = 625
Sixth term = 3125
If you want to find the other terms, just use the rule.
I hope it helps! Thank you! ❤️