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What is the formula for the number sequence 3 7 12 18 25...?
This series is similar to the triangular number sequence 1 3 6 10 15 21.... with the formula n(n+1)/2. So for the number sequence 3 7 12 18 25... I derived a new formula by adding 2n to n(n+1)/2 to get this simplified formula:
[(n*n) + 5n)]/2 (or n squared plus 5n all divided by two)
when n=1, we get [(1*1) + 5(1)]/2=(1+5)/2= 6/2=3
when n=2, we get [(2*2) + 5(2)]/2=(4+10)/2=14/2=7
when n=3, we get [(3*3) + 5(3)]/2=(9+15)/2=24/2=12
when n=4, we get [(4*4) + 5(4)]/2=(16+20)/2=36/2=18
when n=5, we get [(5*5) + 5(5)]/2=(25+25)/2=50/2=25
If we want to know the 10th number in this series, we substitute n by 10 in our formula, we get [(10*10) + 5(10)]/2=(100+50)/2=150/2 = 75
What else can I help you with?
What is the next number in the sequence 18 15 5 39 36?
The next number could be 26 The next number could be 12 - - - - - - - - - The next number that is in the sequence is 12.
What is next in this sequence 12 5 20 1 18 4?
25 is the next number that appears in that sequence.
What number comes next in the sequence 6 12 9 18 15?
6 12 9 18 15 30 27 54 51
What is the value of the nth term in the following arithmetic sequence 12 6 0 -6 ...?
To find the value of the nth term in an arithmetic sequence, you can use the formula: (a_n = a_1 + (n-1)d), where (a_n) is the nth term, (a_1) is the first term, (n) is the term number, and (d) is the common difference between terms. In this sequence, the first term (a_1 = 12) and the common difference (d = -6 - 0 = -6). So, the formula becomes (a_n = 12 + (n-1)(-6)). Simplifying this gives (a_n = 12 - 6n + 6). Therefore, the value of the nth term in this arithmetic sequence is (a_n = 18 - 6n).
What is the nth term of the sequence 18 12 6 0 -6?
To find the nth term of a sequence, we first need to identify the pattern or rule that governs the sequence. In this case, the sequence is decreasing by 6 each time. Therefore, the nth term can be represented by the formula: 18 - 6(n-1), where n is the position of the term in the sequence.
What is the next number in the sequence 18 15 5 39 36?
The next number could be 26 The next number could be 12 - - - - - - - - - The next number that is in the sequence is 12.
What is next in this sequence 12 5 20 1 18 4?
25 is the next number that appears in that sequence.
What is the next number in the sequence 8 12 18 27 40.5?
60.75
What is the next number in the sequence 5 15 12 24 21 21 18?
To find the next number in the sequence 5, 15, 12, 24, 21, 21, 18, we can analyze the pattern. The differences between the numbers are: 10, -3, 12, -3, 0, -3. Following this pattern, the next difference would likely be 12, resulting in a next number of 18 + 12 = 30. Thus, the next number in the sequence is 30.
What number comes next in the sequence 6 12 9 18 15?
6 12 9 18 15 30 27 54 51
What is the value of the nth term in the following arithmetic sequence 12 6 0 -6 ...?
To find the value of the nth term in an arithmetic sequence, you can use the formula: (a_n = a_1 + (n-1)d), where (a_n) is the nth term, (a_1) is the first term, (n) is the term number, and (d) is the common difference between terms. In this sequence, the first term (a_1 = 12) and the common difference (d = -6 - 0 = -6). So, the formula becomes (a_n = 12 + (n-1)(-6)). Simplifying this gives (a_n = 12 - 6n + 6). Therefore, the value of the nth term in this arithmetic sequence is (a_n = 18 - 6n).
What is the nth term of the sequence 18 12 6 0 -6?
To find the nth term of a sequence, we first need to identify the pattern or rule that governs the sequence. In this case, the sequence is decreasing by 6 each time. Therefore, the nth term can be represented by the formula: 18 - 6(n-1), where n is the position of the term in the sequence.
What number comes next in the sequence 12 11 18 14 24 17?
Think it's 30...then 20
What number is next in this sequence 3 4 6 9 13?
The nest number in the sequence is 18. Note that the difference between each number and the next number in the sequence follows the simple sequence of 1,2,3,4. Obviously the next in the sequence of increases is 5, so 13+5=18.
Can you find the missing number from 12 11 18 14 24 17?
It is 30; the first, third, and fifth numbers form the sequence 12, 18, 24. The second, fourth, and sixth numbers follow the sequence 11, 14, 17. Logically, the seventh number must be 24 + 6, so 30.
What is the pattern of 3 6 12 6 12 24 18?
The pattern alternates between two sequences. The first sequence is 3, 6, 12, which doubles each time: 3 × 2 = 6 and 6 × 2 = 12. The second sequence is 6, 12, 24, 18, where the first two numbers also follow a doubling pattern (6 × 2 = 12, 12 × 2 = 24), while the final number, 18, represents a decrease from 24. Thus, the overall sequence combines these two patterns.
What is this sequence 133514221125715124?
133514221125715124 is a single 18-digit number. A single number cannot define a sequence.
