Q: Is 13 17 21 25 29 a geomertic sequence or a arithmetic sequence?

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An excellent example of an arithmetic sequence would be: 1, 5, 9, 13, 17, in which the numbers are going up by four, thus having a common difference of four. This fulfills the requirements of an arithmetic sequence - it must have a common difference between all numbers.

An example of a prime sequence with 5 prime numbers is: 11, 13, 17, 19, 23.

Each number is four more than the previous number.

18

This is an arithmetic sequence with t1 = 1 and the common difference d = -18.The nth term of an arithmetic sequence is given by the formula:tn = t1 + (n - 1)d (substitute 10 for n, 1 for t1, and -18 for d)t10 = 1 + (10 - 1)(-18) = 1 + 9(-18) = 1 - 162 = -161Thus the 10th number of the sequence is -161.

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An excellent example of an arithmetic sequence would be: 1, 5, 9, 13, 17, in which the numbers are going up by four, thus having a common difference of four. This fulfills the requirements of an arithmetic sequence - it must have a common difference between all numbers.

An example of a prime sequence with 5 prime numbers is: 11, 13, 17, 19, 23.

Each number is four more than the previous number.

Assuming the sequence does not merely skip from 13 to 49, and instead carries on in the same pattern, the sequence proceeds thus:1, 5, 9, 13, 17, 21, 25, 29, 33, 37, 41, 45, 49.This is thirteen terms. The formula for finding these terms is 4x-3.

The given sequence is an arithmetic sequence with a common difference of 4 between each term. To find the nth term of an arithmetic sequence, we use the formula: nth term = a + (n-1)d, where a is the first term, d is the common difference, and n is the term number. In this case, the first term (a) is -3, the common difference (d) is 4, and the term number (n) is the position in the sequence. So, the nth term of the given sequence is -3 + (n-1)4 = 4n - 7.

1, 4, 7, 10, 13, ... (Arithmetic sequence, start with 1, add 3 for each successive term);10, 5, 2.5, 1.25, 0.625, ... (Geometric sequence, start with 10, halve for each successive term);2, 3, 5, 7, 11, 13, 17, ... (Prime numbers, no simple rule).

2 5 9 10 13 17 19

The nth term in the arithmetic progression 10, 17, 25, 31, 38... will be equal to 7n + 3.

29

that best completes the sequence 2 9 5 13 10 19 17 is 27.

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.