The next number is 42 as each term is given by:
t{n} = (11n⁴ - 110n³ + 391n² - 556n + 384)/12
Then again, it could be 20 because each term is given by:
t{n} = (n² - n + 20)/2
which corresponds to the difference between two term being one more than the difference between the previous two terms:
t2 - t1 = 1
t3 - t2 = 2 = 1 + 1
t4 - t3 = 3 = 2 + 1
so the next difference is 3 + 1 = 4, so the next term t5 would be t4 + 4 = 16 + 2 = 20.
Also: t{5} = (5² - 5 + 20)/2 = (25 - 5 + 20)/2 = 40/2 = 20.
In fact, what number do you want to come next? Give me the number you want to be next and I could give you a polynomial (relating to the term number n) which gives the results {10, 11, 13, 16} for terms n = 1, 2, 3, 4 and the number you specify for n= 5.
The second answer is probably what your teacher wants, though the first answer is a perfectly good answer.
it has to be 11
It all depends on the sequence you are talking about. For example, the next number in the sequence 0,1,1,2,3,5,8,13,_ would be 21. This would be the Fibonacci sequence as the rule is add the 2 previous terms to get the next term. Another example would be this: 11,121,1331,14641,______.The missing number is 161051, following the pattern of powers of 11, 11^1, 11^2, 11^3 and so on. If you understand what I am trying to say, it all depends on the sequence you are trying to find the number in.
The next number in the sequence is 122. The pattern involves adding increasing increments to each number in the sequence: +14, +10, +11, +13.
71422315
11
11
11
11.
14
If the question is, What is the missing number in the sequence 7, 11, 23, ?, 167? Then each number is 3 times the previous number then deduct 10. 3 x 7 = 21 - 10 = 11 3 x 11= 33 - 10 = 23 3 x 23 = 69 - 10 = 59......the missing number 3 x 59 = 177 - 10 = 167 3 x 167 = 501 - 10 = 491....the next number in the sequence.
18
15
To find the next number in the sequence 16, 11, 13, 8, 10, 5, 7, we first look for a pattern. Consider the differences between consecutive terms: 11 - 16 = -5 13 - 11 = 2 8 - 13 = -5 10 - 8 = 2 5 - 10 = -5 7 - 5 = 2 The differences alternate between -5 and 2. Following this pattern, the next difference after 7 should be -5: 7 + (-5) = 2 Therefore, the next number in the sequence is **2**.
The next number in this sequence is 13112221.
it has to be 11
42 is the next number in this sequence. This number sequence is adding the next prime number to the last number. So 1 + 2 = 3. Then 3 + 3 = 6, 6 + 5 = 11, 11 + 7 = 18, 18 + 11 = 29. The next prime number after 11 is 13, so 29 + 13 = 42. The next numbers would be 59 (42+17), 78 (59+19), and 101 (78+23)
It all depends on the sequence you are talking about. For example, the next number in the sequence 0,1,1,2,3,5,8,13,_ would be 21. This would be the Fibonacci sequence as the rule is add the 2 previous terms to get the next term. Another example would be this: 11,121,1331,14641,______.The missing number is 161051, following the pattern of powers of 11, 11^1, 11^2, 11^3 and so on. If you understand what I am trying to say, it all depends on the sequence you are trying to find the number in.