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how do i find the common difference of the arithmetic sequence -9, -13, -17?

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What is a good example of an arithmetic sequence?

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.


What is a prime sequence that has 5 prime numbers in it?

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


What is the relationship between the terms 5 9 13 17 in this arithmetic sequence?

Each number is four more than the previous number.


What the recursive function that describes the sequence 1 5 9 13 17?

The sequence 1, 5, 9, 13, 17 is an arithmetic sequence where each term increases by 4. A recursive function to describe this sequence can be defined as follows: let ( a(1) = 1 ) and ( a(n) = a(n-1) + 4 ) for ( n > 1 ). This means each term ( a(n) ) is generated by adding 4 to the previous term ( a(n-1) ).


What is the nth term of the sequence 13 17 21 25 29?

The given sequence is an arithmetic sequence where each term increases by 4. The first term (a) is 13, and the common difference (d) is 4. The nth term can be found using the formula: ( a_n = a + (n-1)d ). Therefore, the nth term is ( a_n = 13 + (n-1) \cdot 4 = 4n + 9 ).


What is the 52nd term for 17 21 25 29?

The sequence 17, 21, 25, 29 increases by 4 each time. This means it is an arithmetic sequence where the first term ( a = 17 ) and the common difference ( d = 4 ). The nth term of an arithmetic sequence can be calculated using the formula ( a_n = a + (n-1) \cdot d ). For the 52nd term: ( a_{52} = 17 + (52-1) \cdot 4 = 17 + 204 = 221 ).


Number of terms in the following arithmetic sequence 1 5 9 13 49?

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.


Identify the next three terms in the arithmetic sequence 9 12 17 24 and hellip?

To find the next three terms in the sequence 9, 12, 17, 24, we first identify the differences between consecutive terms: 12 - 9 = 3, 17 - 12 = 5, and 24 - 17 = 7. The differences themselves form an increasing arithmetic sequence: 3, 5, 7. Continuing this pattern, the next differences would be 9, 11, and 13, leading to the subsequent terms being 24 + 9 = 33, 33 + 11 = 44, and 44 + 13 = 57. Therefore, the next three terms are 33, 44, and 57.


What is the nth term of the sequence -3 1 5 9 13 17?

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.


How do you Find the 18 term of the arithmetic sequence 3101724...?

To find the 18th term of the arithmetic sequence 3, 10, 17, 24..., first, identify the common difference. The difference between consecutive terms is 7 (10 - 3, 17 - 10, 24 - 17). The formula for the nth term of an arithmetic sequence is given by ( a_n = a_1 + (n - 1)d ), where ( a_1 ) is the first term and ( d ) is the common difference. For the 18th term: ( a_{18} = 3 + (18 - 1) \times 7 = 3 + 119 = 122 ).


What is the nth term of 5 9 13 17?

The sequence 5, 9, 13, 17 is an arithmetic sequence where each term increases by 4. The first term (a) is 5, and the common difference (d) is 4. The nth term can be expressed using the formula: ( a_n = a + (n-1)d ). Therefore, the nth term is given by ( a_n = 5 + (n-1) \cdot 4 = 4n + 1 ).