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

Question

Look at the following sequence:

64 , 85 , 98 , 100 , 1

Is there a term-to-term rule?

Video Solution

Solution Steps

00:00 Is there any pattern in the sequence?
00:04 Let's examine the change between terms
00:11 We can see that the change is not constant, therefore there is no pattern
00:19 And this is the solution to the question

Step-by-Step Solution

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:

8564=2185 - 64 = 21

9885=1398 - 85 = 13

10098=2100 - 98 = 2

1100=991 - 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.

Answer

No.