Thus, the sequence of even numbers 2, 4, 6, 8, 10, ... is an arithmetic sequence in which the common difference is d = 2. It is easy to see that the formula for the nth term of an arithmetic sequence is an = a +(n −1)d. 1 2, 5, 8, ... 2 107, 98, 89, ....
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What type of sequence is 2, 4, 6, 10?
An arithmetic sequence is a sequence of numbers such that the difference of any two successive members of the sequence is a constant. 2,4,6,8,10….is an arithmetic sequence with the common difference 2.
This is an arithmetic sequence since there is a common difference between each term. In this case, adding 2 to the previous term in the sequence gives the next term.
Step-by-step explanation: The given sequence starts with 2 and increases by 2 at each step. In this case, the first term (a1) is 2 and the common difference (d) is 2. Therefore, the 8th term of the sequence 2, 4, 6, ... is 16.
The 12th term of the following sequence: 2, 4, 6, 8, 10, 12, ... is 24. With an arithmetic sequence, the formula for finding the value of any term is x = y ( n − 1 ) + z .
What is the rule for the nth term of a sequence 2 4 6 8 10 12?
In this Arithmetic Progression, the first term, a, and the common difference, d, are both 2. The expression for the nth term of such a series is Tn = a + (n-1)d. In this case, this becomes Tn = 2 + 2(n-1) = 2n.
How does the pattern of 2, 4, 6, 8 progress to the next term?
The given pattern is a sequence of even numbers: 2, 4, 6, 8. The pattern progresses by adding 2 to the previous term to get the next term. Continuing the pattern with the next three terms: 10, 12, 14 The rule used to generate the pattern is to start with 2, and then add 2 to each subsequent term.
The next term in the sequence 2, 4, 6, 8 is 10. This sequence is an example of an arithmetic sequence, where each term increases by a constant amount. In this case, the common difference is 2. To find the next term, you simply add the common difference to the last term in the sequence. So, 8 + 2 equals 10.
we have the pattern 2,4,6,10,16,26. Between the first two numbers , we have a difference of 2 . The second and third numbers have a difference of 2 . The third number (6) and fourth number (10) have a difference of 4 ; Which is 2+2 .
This is an arithmetic sequence since there is a common difference between each term. In this case, adding 2 to the previous term in the sequence gives the next term.
Step-by-step explanation: The missing number in the sequence is 14. Each number in the sequence is increasing by 2, so the next number after 12 would be 12 + 2 = 14.
