Question

Find the missing number in the list below.
3, 5, 11, 21, 35,

Answer 1

The missing number in the sequence is found by observing the pattern of consecutively increasing even numbers in the differences between terms. The next even number after 14 is 18, so we add 18 to the last given number, 35, to get the missing number, which is 53.

Step-by-step explanation:

To find the missing number in the sequence 3, 5, 11, 21, 35, ..., we should look for a pattern in the differences of consecutive numbers. Let's calculate the differences:

• 5 - 3 = 2
• 11 - 5 = 6
• 21 - 11 = 10
• 35 - 21 = 14

The differences between the terms are succeeding even numbers: 2, 6, 10, and 14. This suggests that to find the missing number, we should add the next even number after 14 to the last number in the given sequence (which is 35). The next even number after 14 is 18.

Therefore, the missing number is 35 + 18 = 53.

Answer 2

To find the missing number in the given list, we observe the differences between the numbers and identify a pattern. By adding 4 to the last number in the list, we find the missing number.

Step-by-step explanation:

To find the missing number in the list, we need to identify the pattern or rule that relates the given numbers. Looking at the numbers, we can see that each subsequent number is obtained by multiplying the previous number by a certain value and then adding a constant term. Let's examine the differences between the numbers:

1. 5 - 3 = 2
2. 11 - 5 = 6
3. 21 - 11 = 10
4. 35 - 21 = 14

From these differences, we can observe that the constant term is increasing by 4 each time. Therefore, to find the missing number, we add 4 to the last number in the list:

35 + 4 = 39

The missing number in the list is 39.

Learn more about Finding missing numbers in a sequence