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The sequence provided is an arithmetic sequence where the first term is 3 and the common difference is 2. 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 10th term, ( a_{10} = 3 + (10-1) \times 2 = 3 + 18 = 21 ). Thus, the 10th term of the sequence is 21.
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Consider the sequence 2 5 10 17 ... What is the value of a3?
In the sequence 2, 5, 10, 17, we can observe that the differences between consecutive terms are increasing: 5 - 2 = 3, 10 - 5 = 5, and 17 - 10 = 7. The differences themselves (3, 5, 7) increase by 2 each time, indicating that the next difference would be 9. Therefore, the next term after 17 is 17 + 9 = 26. Thus, the value of a3, which is the third term, is 10.
What does they mean by the fifth term in a sequence of ten numbers?
The fifth term in a sequence of ten numbers refers to the number that occupies the fifth position when the sequence is ordered from the first to the tenth term. For example, in the sequence 3, 7, 1, 4, 9, 2, 8, 5, 6, 10, the fifth term is 9. Identifying the fifth term is essential for understanding the sequence's progression or pattern.
The first term is 4 and the common difference is 3. the fifth term of this sequence is?
The nth term of a arithmetic sequence is given by: a{n} = a{1} + (n - 1)d → a{5} = a{1} + (5 - 1) × 3 → a{5} = 4 + 4 × 3 = 16.
What is the next term in the sequence -13-9-5-1?
3
What is the rule in these nunbers 3-7 4-10 5-13?
Let n (i) = the term number of each term in the sequence., with (i) going from 1-6 E.g term number 1 (n (1) ) is 3. n(2)= -7 etc... Therefore n(i) for odd terms in the sequence is n (i)= (n (i -2)th term +1). For even terms in the sequence, n(i)= (n (i - 2)th term -3).
What is the 10th term of the sequence of n plus 3?
The sequence n plus 3 can be represented as 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, ... The 10th term of this sequence can be found by substituting n = 10 into the formula, which gives us 10 + 3 = 13. Therefore, the 10th term of the sequence is 13.
What does the math term sequence mean?
1 3 5 8 20 18 10
What are 3 examples of a sequence?
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).
What is the 9th term in the quadratic sequence 2 5 10 17 26?
To find the nth term in a quadratic sequence, we first need to determine the pattern. In this case, the difference between consecutive terms is increasing by 3, 5, 7, 9, and so on. This indicates a quadratic sequence. To find the 9th term, we need to use the formula for the nth term of a quadratic sequence, which is given by: Tn = an^2 + bn + c. By plugging in n=9 and solving for the 9th term, we can find that the 9th term in this quadratic sequence is 74.
What if the second terms of an arithmetic sequence is 5 find the sum of 1st and 3rd term?
sequence 4 5 6 sum =10 sequecnce 0 5 10 sum=10
What is the nth term of this sequence 3 5 7 9 11?
The nth term of the sequence is 2n + 1.
What is tenth term of the sequence 2n plus 1?
The nth term of the sequence 2n + 1 is calculated by substituting n with the term number. So, the tenth term would be 2(10) + 1 = 20 + 1 = 21. Therefore, the tenth term of the sequence 2n + 1 is 21.
The first term is 4 and the common difference is 3. the fifth term of this sequence is?
The nth term of a arithmetic sequence is given by: a{n} = a{1} + (n - 1)d → a{5} = a{1} + (5 - 1) × 3 → a{5} = 4 + 4 × 3 = 16.
What is the nth term sequence of 8n-5?
3 11
What is the next term in the sequence -13-9-5-1?
3
What is the nth term of the sequence 10 13 18 25 34?
The next term is 45 because the numbers are increasing by increments of 3 5 7 9 and then 11
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.
