what is the pattern of this ? 1+3=4,3+5=8,8+10=18

say me two more sum with this pattern

The pattern in the given sums appears to be adding the result of the previous sum to a new pair of numbers. Here's a breakdown of the pattern:

1. \(1 + 3 = 4\)
2. \(3 + 5 = 8\)
3. \(8 + 10 = 18\)

To continue this pattern, we observe the following:

1. The first sum is \(1 + 3 = 4\).
2. The second sum takes the result of the first sum (which is 4) and adds the next pair of numbers \(3 + 5\).
3. The third sum takes the result of the second sum (which is 8) and adds the next pair of numbers \(8 + 10\).

Now, to find two more sums:

4. Take the result of the third sum (18) and add the next pair of numbers \(10 + 12\):
\[18 + 10 + 12 = 18 + 22 = 40\]

5. Take the result of the fourth sum (40) and add the next pair of numbers \(12 + 14\):
\[40 + 12 + 14 = 40 + 26 = 66\]

Thus, the next two sums in this pattern are:

1. \(18 + 10 + 12 = 40\)
2. \(40 + 12 + 14 = 66\)

Would you like more details or have any questions?

Here are 8 related questions to expand on this concept:
1. What is the general formula for the sums in this pattern?
2. How can we identify similar patterns in other sequences?
3. Can this pattern be expressed using a recursive formula?
4. How would this pattern change if we altered the initial numbers?
5. Can this pattern be applied to subtraction or multiplication?
6. How does the choice of pairs affect the outcome of the sequence?
7. What are other common patterns found in arithmetic sequences?
8. How can understanding patterns improve problem-solving skills in mathematics?

**Tip:** Recognizing and understanding patterns in mathematics can significantly enhance your ability to solve complex problems and predict future values in sequences.

Explore the pattern of adding the result of the previous sum to a new pair of numbers in arithmetic sequences. Learn how to identify and extend such patterns with detailed examples and explanations.

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