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Find nth term for sequence 0 5 10 15 20 25 30 35?
The given sequence is an arithmetic sequence with a common difference of 5. To find the nth term of an arithmetic sequence, we use the formula: (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. In this case, the first term (a_1 = 0) and the common difference (d = 5). Therefore, the nth term of the sequence is (a_n = 0 + (n-1)5 = 5n - 5).
A certain arithmetic sequence has the recursive formula an equals an-1 plus d If the common difference between the terms of the sequence is -11 what term follows the term that has the value 11?
an = an-1 + d term ar-1 = 11 difference d = -11 ar = ar-1 + d = 11 - 11 = 0 The term 0 follows the term 11.
What is the value of the 7 term of the Fibonacci sequence?
0, 1, 1, 2, 3, 5, 8 so the 7th term is 8
What is the nth term of the sequence 18 12 6 0 -6?
To find the nth term of a sequence, we first need to identify the pattern or rule that governs the sequence. In this case, the sequence is decreasing by 6 each time. Therefore, the nth term can be represented by the formula: 18 - 6(n-1), where n is the position of the term in the sequence.
Is every cauchy sequence is convergent?
Every convergent sequence is Cauchy. Every Cauchy sequence in Rk is convergent, but this is not true in general, for example within S= {x:x€R, x>0} the Cauchy sequence (1/n) has no limit in s since 0 is not a member of S.
What is the sequence of 3n?
The sequence of (3n) represents a series of numbers generated by multiplying the integer (n) by 3. Specifically, for (n = 0, 1, 2, 3, \ldots), the sequence is (0, 3, 6, 9, 12, \ldots). This is an arithmetic sequence where each term increases by 3, starting from 0. The general term can be expressed as (3n) for (n = 0, 1, 2, \ldots).
A sequence formed by subtracting each term of sequence from next term is?
If the first two numbers are 0, 1 or -1 (not both zero) then you get an alternating Fibonacci sequence.
What is the formula for the general term of the arithmetic sequence?
an = a1 + d(n - 1)
What is the general term of a triangle sequence?
Un = n*(n+1)/2
Find nth term for sequence 0 5 10 15 20 25 30 35?
The given sequence is an arithmetic sequence with a common difference of 5. To find the nth term of an arithmetic sequence, we use the formula: (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. In this case, the first term (a_1 = 0) and the common difference (d = 5). Therefore, the nth term of the sequence is (a_n = 0 + (n-1)5 = 5n - 5).
What is the pattern for 0 0 1 3 6?
The pattern for the sequence 0 0 1 3 6 is that each term is obtained by adding the previous term multiplied by its position in the sequence (starting from 1). In other words, the nth term is given by n*(n-1)/2.
How do you get each number in the Fibonacci sequence?
The Fibonacci sequence is a series of sums of two counting numbers and it starts with the lowest two, namely 0 and 1. Each successive number in the sequence is the sum of the two preceding it. Like this: The first term is usually 0 (although sometimes it is left out). The second term is 1. The third term is 1 + 0 = 1. The fourth term is 1 + 1 = 2. The fifth term is 1 + 2 = 3. The sixth term is 2 + 3 = 5. So the first 15 terms in the sequence would be: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233, 377, ... More formally, the Fibonacci sequence is defined recursively as: a1 = 0 a2 = 1 an+1 = an-1 + an There is also a general formula for the nth Fibonacci number: ( [1+sqrt(5)]n - [1-sqrt(5)]n ) / (2n * sqrt(5)) (where sqrt() means square root of)
What general rule for a geometric sequences?
In a Geometric Sequence each term is found by multiplying the previous term by a common ratio except the first term and the general rule is ar^(n-1) whereas a is the first term, r is the common ratio and (n-1) is term number minus 1
A certain arithmetic sequence has the recursive formula an equals an-1 plus d If the common difference between the terms of the sequence is -11 what term follows the term that has the value 11?
an = an-1 + d term ar-1 = 11 difference d = -11 ar = ar-1 + d = 11 - 11 = 0 The term 0 follows the term 11.
What is the value of the 7 term of the Fibonacci sequence?
0, 1, 1, 2, 3, 5, 8 so the 7th term is 8
What is the formula for the nth term for the sequence 0-3-6-9-12?
The sequence 0, 3, 6, 9, 12 is an arithmetic sequence where the first term is 0 and the common difference is 3. The formula for the nth term can be expressed as ( a_n = 3(n - 1) ) or simply ( a_n = 3n - 3 ). This formula generates the nth term by multiplying the term's position (n) by 3 and adjusting for the starting point of the sequence.
How do you get the general term of an arithmetic sequence?
The general (or nth) term is given by the equation t(n) = a + (n-1)d where a is the first term and d is the common difference between successive terms.
