Thank you for the answer K
Can you please explain?
Observe the pattern of letters ACCCEEEEEGGGGGGG. This pattern continues to repeat beginning with the letter A. What will be the 170th letter?
Your pattern has 16 letters.
The pattern repeats every 16 letters.
Multiply 16 with integers numbers ( 1,2,3..)
Greater number less of 170 is:
16 * 10 = 160
170 - 160 = 10
10th letter in pattern will be 170th letter.
10th letter is G
170th letter is also G
Explain how to find the value of Y in the following expression 5 Y.6=29
To find the 170th letter, we need to analyze the pattern.
The pattern starts with the letter A and is followed by a sequence of Cs, Es, and Gs. The number of Cs increases by 1 with each iteration, the number of Es increases by 2 with each iteration, and the number of Gs increases by 3 with each iteration.
To find the position of the letter in the pattern, we can determine the iteration it belongs to. The formula to find the iteration is ceil((sqrt(8*n + 1) - 1) / 2), where n is the position of the letter.
Using this formula, we can find that the 170th letter belongs to the 18th iteration.
In the 18th iteration, the pattern will have 1 + 2 + 3 + ... + 17 = 153 letters before the 170th letter.
Since the 170th letter belongs to the 18th iteration, we can calculate the number of Cs, Es, and Gs in the 18th iteration.
- Number of Cs: 1 + 2 + 3 + ... + 17 = (17 * 18) / 2 = 153
- Number of Es: 2 + 4 + 6 + ... + 34 = 2 * (1 + 2 + 3 + ... + 17) = 306
- Number of Gs: 3 + 6 + 9 + ... + 51 = 3 * (1 + 2 + 3 + ... + 17) = 459
Now, let's calculate the position of the 170th letter within the 18th iteration.
170 - 153 = 17
The 170th letter in the pattern is the 17th letter in the 18th iteration.
In the 18th iteration, the pattern has 1 C, 2 Es, and 3 Gs before the 17th letter.
Therefore, the 170th letter is a G.
Sure! To find the 170th letter in the given pattern (ACCCEEEEEGGGGGGG), we need to understand the pattern and how it repeats.
Let's break down the pattern:
- The first letter is 'A'.
- The second letter is 'CCC' (three consecutive 'C's).
- The third letter is 'EEEE' (four consecutive 'E's).
- The fourth letter is 'GGGGGGG' (seven consecutive 'G's).
- This pattern then repeats starting with 'A' again.
Based on this information, we can analyze the pattern of the letters. We can observe that the length of each consecutive sequence increases by one each time, starting from 1 and going up to 7.
To determine the position of any given letter, we need to find the group it belongs to and its position within that group. Since the groups have variable lengths, we can find the group number by counting the cumulative sum of the sequence lengths until it exceeds the desired position.
Let's break it down step-by-step:
1. Firstly, let's calculate the cumulative sum of the sequence lengths:
- 1 + 3 + 4 + 7 = 15
So, the cumulative sum is 15.
2. Next, we need to find the group the 170th letter belongs to. The group number can be calculated by finding the smallest triangular number that is greater than or equal to the cumulative sum. A triangular number is the sum of consecutive positive integers.
In this case, the smallest triangular number greater than or equal to 15 is 21.
The group number will be the index of this triangular number, which is 6.
So, the 170th letter belongs to the 6th group.
3. Now, we need to find the position of the 170th letter within the 6th group. To do this, we subtract the cumulative sum of the previous groups from the desired position.
- 170 - 15 = 155
So, we have 155 letters before the 170th letter in the 6th group.
4. Finally, we need to find the letter itself. Since each group starts with 'A', we can determine the letter by calculating the remainder of the position divided by the length of the group.
- 155 % 7 = 6
The remainder is 6.
Counting from 'A' in the 6th group, the 6th letter is 'G'.
Therefore, the 170th letter in the pattern ACCCEEEEEGGGGGGG is 'G'.