How did you find the nth term
Finding the nth Term of an Arithmetic Sequence
Given an arithmetic sequence with the first term a1 and the common difference d , the nth (or general) term is given by an=a1+(n−1)d . Example 1: Find the 27th term of the arithmetic sequence 5,8,11,54,… . a8=60 and a12=48 .
What is the nth term for 2 5 8 11
3n – 1
Solution: The nth term is 3n – 1.
What is the nth term for 2 5 8 11 14
The next number in the list of numbers 2, 5, 8, 11, 14, . . . is 17. Notice that the difference between each consecutive term in this sequence is 3. Therefore, this is an arithmetic sequence with a common difference of 3. Thus, to find the next number in the sequence, we simply add 3 to 14.
What is the nth term for 15 12 9 6
= 18 – 3n
Let's find the nth term of the sequence, 15, 12, 9, 6, … Thus, the expression for the nth term of the sequence, 15, 12, 9, 6, … is an = 18 – 3n. We can use Cuemath's Online Arithmetic sequence calculator to find the arithmetic sequence using the first term and the common difference between the terms.
What is the nth term of 2 4 8 16 32
So, the next term is: 2 × 2 × 2 × 2 × 2 × 2 = 64.
What is the nth term of 3 5 7 9 11
Arithmetic Progressions
For example: 3, 5, 7, 9, 11, is an arithmetic progression where d = 2. The nth term of this sequence is 2n + 1 . In general, the nth term of an arithmetic progression, with first term a and common difference d, is: a + (n – 1)d .
How do you find the nth term of 1 3 5 7 9
The sequence that is given to us is 1, 3, 5, 7, 9, … a5 – a4 = 9 – 7 = 2. Hence, from the above simplification we can see that the common difference is 2. Therefore, the general term for the sequence 1, 3, 5, 7, 9, . . . is 2n – 1.
What is the nth term of the sequence 1 1 2 3 5 8
Fibonacci Numbers (Sequence):
1,1,2,3,5,8,13,21,34,55,89,144,233,377,… Fn=Fn−2+Fn−1 where n≥2 . Each term of the sequence , after the first two, is the sum of the two previous terms. This sequence of numbers was first created by Leonardo Fibonacci in 1202 .
What is the nth term of 2 4 6 8 10
2n
In the sequence 2, 4, 6, 8, 10… there is an obvious pattern. Such sequences can be expressed in terms of the nth term of the sequence. In this case, the nth term = 2n.
What is the nth term of 3.7 11 15
4n-1
So the nth term would be 4n-1 ….
What is the sequence 1 2 4 6 8 16
It is a geometric sequence.
What is the nth term of 1 3 7 15 sequence
Answers and Solutions
1, 3, 7, 15, 31, Answer: 1=(2^1)-1; 3=(2^2)-1; 7=(2^3)-1; 15=(2^4)-1; 31=(2^5)-1; Thus, nth term=(2^n)-1; required term=6th term=(2^6)-1=63.
What is the nth term of 3 6 9 12 15 18
Since, the common difference are equal so its clear that the given sequence is an Arithmetic Expression. a = 3 and d = 3 where a is first term of an AP and d is common difference of an AP. ⇒ an = 3n. Hence, nth term of the sequence, 3,6,9,12… is an = 3n.
What is the nth term of 1 3 5 7 9 11
Arithmetic Progressions
For example: 3, 5, 7, 9, 11, is an arithmetic progression where d = 2. The nth term of this sequence is 2n + 1 .
What is the nth term for 1 3 5 7
2n – 1
The general term for the sequence 1, 3, 5, 7, 9, . . . is 2n – 1.
What is the sequence 1 1 2 3 5 8 an example of
The Fibonacci sequence is a series of numbers where a number is the addition of the last two numbers, starting with 0, and 1. The Fibonacci Sequence: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55…
What is the nth term of the sequence 1 3 5 7 9
∴nth term is 2n−1.
What is the nth term formula for 7 11 15 19 23
4n + 3
The original sequence we wanted: 7, 11, 15, 19, 23, … To get the terms in the original sequence, we need to add on 3 to each of the terms in the 4n sequence. Hence, the general formula for the nth term of the original sequence is 4n + 3.
How do you find the nth term of 1 5 9 13 17
We will first check if this is an arithmetic sequence by seeing if there is a common difference between succeeding pairs of terms. Thus, the nth term rule for the given sequence is a n = 4 n − 3 .
What is the rule for this sequence 1 1 2 3 5 8 13
The Fibonacci sequence is the series of numbers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34… In this series, the next number is found by adding the two numbers before it. Hence, the next term in the series is 8 + 13 = 21.
What is the rule for this sequence 1 1 2 3 5 8
The sequence follows the rule that each number is equal to the sum of the preceding two numbers. The Fibonacci sequence begins with the following 14 integers: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, 233 … Each number, starting with the third, adheres to the prescribed formula.
What is the nth term of 1 1 2 3 5 8
1,1,2,3,5,8,13,21,34,55,89,144,233,377,… Fn=Fn−2+Fn−1 where n≥2 . Each term of the sequence , after the first two, is the sum of the two previous terms. This sequence of numbers was first created by Leonardo Fibonacci in 1202 .
What is the sequence 1 1 2 3 4 5 8
Fibonacci Numbers (Sequence):
1,1,2,3,5,8,13,21,34,55,89,144,233,377,… Fn=Fn−2+Fn−1 where n≥2 . Each term of the sequence , after the first two, is the sum of the two previous terms.
What is the sequence 1 1 2 3 5 8 called
The Fibonacci sequence is a famous group of numbers beginning with 0 and 1 in which each number is the sum of the two before it. It begins 0, 1, 1, 2, 3, 5, 8, 13, 21 and continues infinitely.
What is the nth term of the sequence 5 2 1 4 7
Solution. The nth term of an A.P. 5, 2, -1, -4, -7 … is 8 – 3n.
