https://r2.erweima.ai/mathbot/image/1726376511937kqpk18v3.jpg

The given sequence in the image is: 
\[ 13, 17, 22, 28, 35, \dots \]

To identify the next three elements in the sequence, let's determine the pattern.

1. The differences between consecutive terms are:
   \[ 17 - 13 = 4 \]
   \[ 22 - 17 = 5 \]
   \[ 28 - 22 = 6 \]
   \[ 35 - 28 = 7 \]

2. The pattern shows that the difference between consecutive terms is increasing by 1 (i.e., 4, 5, 6, 7,...).

To find the next three elements:
- The next difference should be \( 8 \), so:
  \[ 35 + 8 = 43 \]

- The difference after that should be \( 9 \), so:
  \[ 43 + 9 = 52 \]

- The difference after that should be \( 10 \), so:
  \[ 52 + 10 = 62 \]

Thus, the next three elements in the sequence are: 
\[ 43, 52, 62 \]

From the provided options, the correct answer is:
**Option d: 43, 25, 62**.

This seems to be an error in the options, as "25" should be "52". But based on the pattern, the numbers 43, 52, and 62 are correct.

Would you like more details or explanations?

Here are 5 related questions to think about:
1. What are arithmetic sequences, and how are they different from this pattern?
2. How do we determine the nth term in such a sequence?
3. Can this sequence be described by a quadratic formula?
4. What happens if the difference between consecutive terms is not constant?
5. How can sequences be applied in real-life situations?

**Tip:** When analyzing a sequence, always check the differences between consecutive terms to spot a pattern.

De las opciones mostradas, selecciona los tres elementos siguientes de la serie que a continuación se presenta: 13, 17, 22, 28, 35, ...

Learn how to find the next three terms in the arithmetic sequence starting with 13, 17, 22, 28, 35. This problem involves recognizing the pattern of increasing differences and using basic arithmetic to continue the sequence. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation