Question

1. Given the following sequence write the next three terms.

5,000 4,096 2,048 2,044 1,022 ________, _________, ________
2. What is the rule for the sequence in 1?
3. Write your own sequence that involves two operations. Write down what is the rule for your sequence.
Sequence:
Rule:

Answer 1

The next three terms of the given sequence are 1,020, 508, and 254. The rule for this sequence is to divide the previous term by 2 and subtract either 4 or 2.

Step-by-step explanation:

The given sequence is 5,000 4,096 2,048 2,044 1,022. To find the next three terms, we can observe that each term is obtained by dividing the previous term by 2 and subtracting either a 4 or 2. Therefore, the next three terms are:

• 1,020
• 508
• 254

The rule for this sequence is to divide the previous term by 2 and subtract either 4 or 2. This generates the sequence.

For example, to get from 2,044 to 1,022, we divide 2,044 by 2 to get 1,022 and then subtract 2. Similarly, to get from 1,022 to the next term, we divide 1,022 by 2 to get 511 and then subtract 3 (since 3 is the next number in the pattern).