Question

What is the pattern in the given sequence?

(A) Each number is 2 less than the previous number.
(B) Each number is 4 less than the previous number.
(C) Each number is the average of the two previous numbers.
(D) Each number is the sum of the two previous numbers.

Answer 1

A pattern in a given sequence, but the sequence is not provided, preventing the determination of the correct pattern.

Step-by-step explanation:

A pattern within a given sequence. However, the sequence in question is not provided, which makes it impossible to determine the correct pattern.

Therefore, we cannot determine if the proper pattern is (A) Each number is 2 less than the previous number, (B) Each number is 4 less than the previous number, (C) Each number is the average of the two previous numbers, or (D) Each number is the sum of the two previous numbers. To accurately solve the problem and identify the pattern, the full sequence must be given. Without the necessary sequence information, I am unable to provide a confident and correct answer.

Answer 2

The pattern in the sequence is (D) Each number is the sum of the two previous numbers.

Step-by-step explanation:

A sequence is an ordered list of numbers or objects where the arrangement follows a specific pattern or rule. Each element in the sequence occupies a unique position, often called a term or a member, and the relationship between successive terms can be defined by a consistent rule or formula. Sequences can be finite, meaning they have a limited number of terms, or infinite, continuing indefinitely.

For this case, starting with 4, the sequence progresses by adding the previous two numbers together:

4 + 6 = 10,

6 + 10 = 16,

10 + 16 = 26, and so on.

This pattern is characterized by each number being formed by the sum of the two preceding numbers in the sequence. It's a typical trait of a Fibonacci-like sequence where each number is derived from adding the two numbers that came before it.

So, the correct answer is (D) Each number is the sum of the two previous numbers.

Complete question:

Sequence: 4, 6, 10, 16, 26

What is the pattern in the given sequence?

• (A) Each number is 2 less than the previous number.
• (B) Each number is 4 less than the previous number.
• (C) Each number is the average of the two previous numbers.
• (D) Each number is the sum of the two previous numbers.