It is: nth term = 35-9n
-11n + 17
To find the nth term of this sequence, we first need to identify the pattern. The differences between consecutive terms are 5, 9, 13, 17, and so on. These are increasing by 4 each time. This means that the nth term can be calculated using the formula n^2 + 4n + 1. So, the nth term for the sequence 5, 10, 19, 32, 49 is n^2 + 4n + 1.
tn=5n-3
If you notice, there is a common difference between the terms: tn - tn-1 = -4 So the nth term is: tn = tn-1 - 4 For this recursive sequence to be defined though, you need something to start with as your tn-1. So start with t1= 3 and you're done.
The nth term is 25-4n and so the next term will be 5
It is 4n+5 and so the next term will be 25
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.
It is: nth term = 35-9n
The nth term is 5n-3 and so the next term will be 22
The nth term is 2n+5 and so the next number is 17
-11n + 17
5
7n - 4
The nth term in the arithmetic progression 10, 17, 25, 31, 38... will be equal to 7n + 3.
To find the nth term of this sequence, we first need to identify the pattern. The differences between consecutive terms are 5, 9, 13, 17, and so on. These are increasing by 4 each time. This means that the nth term can be calculated using the formula n^2 + 4n + 1. So, the nth term for the sequence 5, 10, 19, 32, 49 is n^2 + 4n + 1.
The nth term is: 3n+2 and so the next number will be 20