32 32 4 +4 = 8 8 + 6 = 14 14 + 8 = 22 22 + 10 = 32 The sequence starts at 4 and then adds 4, to get 8, then adds 6 to get 14, then adds 8, to get 22, so by extension the next number is 22 + 10. The number being added to the previous number in the sequence starts at 4 and rises by 2 each time.
10. Then 12, 14, 16, 18, 20, 22, 24, etc.
In this case, 22 would have the value of 11.
An arithmetic sequence in one in which consecutive terms differ by a fixed amount,or equivalently, the next term can found by adding a fixed amount to the previous term. Example of an arithmetic sequence: 2 7 12 17 22 ... Here the the fixed amount is 5. I suppose any other type of sequence could be called non arithmetic, but I have not heard that expression before. Another useful kind of sequence is called geometric which is analogous to arithmetic, but multiplication is used instead of addition, i.e. to get the next term, multiply the previous term by some fixed amount. Example: 2 6 18 54 162 ... Here the muliplier is 3.
To find the common difference in the arithmetic sequence, we can use the formula for the nth term of an arithmetic sequence: (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. Given that 24 is the fifth term in a sequence of 10 numbers, we can set up the equation (24 = a_1 + 4d). We also know that there are 10 terms in the sequence, so the 10th term can be expressed as (a_{10} = a_1 + 9d). With this information, we can set up a system of equations to solve for the first term (a_1) and the common difference (d).
22 they increase by 4 each time
-34 would be the 15th term.
To get the arithmetic mean, sum them up and divide by the count (in this case 10). So we have 12 + 14 + 15 + 16 + 18 + 20 + 21 + 22 + 24 + 25 = 187. Divide by 10 is 18.7
32 32 4 +4 = 8 8 + 6 = 14 14 + 8 = 22 22 + 10 = 32 The sequence starts at 4 and then adds 4, to get 8, then adds 6 to get 14, then adds 8, to get 22, so by extension the next number is 22 + 10. The number being added to the previous number in the sequence starts at 4 and rises by 2 each time.
10. Then 12, 14, 16, 18, 20, 22, 24, etc.
This sequence appears to be generated by adding the previous two numbers to get the next number. Starting with 2 and 6, we get 2 + 6 = 8. Then, 6 + 8 = 14, 8 + 14 = 22, and 14 + 22 = 36. This pattern follows the Fibonacci sequence, where each number is the sum of the two preceding ones.
-8
That is called an arithmetic sequence. For example: 8, 15, 22, 29, 36, 43, 50, 57, etc.
In this case, 22 would have the value of 11.
-10
14
14