Analyze the Sequence: Finding the Term-to-Term Rule for 64, 85, 98, 100, 1

Look at the following sequence:

64 , 85 , 98 , 100 , 1

Is there a term-to-term rule?

To solve this problem, we'll follow these steps:

• Step 1: Examine differences between consecutive terms
• Step 2: Check for consistency in differences

Let's calculate the differences:

$85 - 64 = 21$

$98 - 85 = 13$

$100 - 98 = 2$

$1 - 100 = -99$

Observing these differences, it is evident that they are not consistent. Therefore, there is no consistent arithmetic or geometric pattern that applies to the entire sequence. Given the choices, the conclusion is clear: There is no term-to-term rule.

Therefore, the correct answer choice is 4: No.