The given sequence is decreasing by 3 each time. To find the nth term of the sequence, we can use the formula for the nth term of an arithmetic sequence: ( a_n = a_1 + (n-1)d ), where ( a_1 ) is the first term, ( d ) is the common difference, and ( n ) is the term number. In this case, the first term ( a_1 = 20 ) and the common difference ( d = -3 ). So, the nth term of the sequence is ( a_n = 20 + (n-1)(-3) = 23 - 3n ).
Ah, isn't that a lovely sequence you have there? To find the nth term, we can see that the sequence is decreasing by 3 each time. So, if we let the first term be a and the common difference be d, the nth term can be found using the formula a + (n-1)d. Keep exploring those beautiful patterns, my friend!
The nth term is: 3n+2 and so the next number will be 20
This is an arithmetic sequence which starts at 14, a = 14, and with a common difference of -1, d = -1. We can use the nth term formula an = a + (n - 1)d to get an = 14 + (n - 1)(-1) = 14 - n + 1 = 15 - n.
Tn = 10 + n2
The nth term would be -2n+14 nth terms: 1 2 3 4 Sequence:12 10 8 6 This sequence has a difference of -2 Therefore it would become -2n. Replace n with 1 and you would get -2. To get to the first term you have to add 14. Therefore the sequence becomes -2n+14. To check your answer replace n with 2, 3 or 4. You will still obtain the number in the sequence that corresponds to the nth term. :)
The nth term is 2 + 3n.
The nth term is: 3n+2 and so the next number will be 20
The given sequence (7, 14, 21, 28, 35,....) is an arithmetic sequence where each term increases by 7. The nth term of the given sequence is 7n
They are: nth term = 6n-4 and the 14th term is 80
This is an arithmetic sequence which starts at 14, a = 14, and with a common difference of -1, d = -1. We can use the nth term formula an = a + (n - 1)d to get an = 14 + (n - 1)(-1) = 14 - n + 1 = 15 - n.
Tn = 10 + n2
5, 8, 11, 14 and 17.
Clearly here the nth term isn't n25.
The nth term would be -2n+14 nth terms: 1 2 3 4 Sequence:12 10 8 6 This sequence has a difference of -2 Therefore it would become -2n. Replace n with 1 and you would get -2. To get to the first term you have to add 14. Therefore the sequence becomes -2n+14. To check your answer replace n with 2, 3 or 4. You will still obtain the number in the sequence that corresponds to the nth term. :)
First look for the difference between the terms, for example the sequence: 5, 8, 11, 14... has a difference of 3. This means the sequence follows the 3 times table - i.e. 3n Now since we need the first term to be 5 we add 2 to our rule to make it work. So the nth term of this sequence is 3n + 2.
The nth term is 2 + 3n.
The nth term is 3n+2 and so the next number will be 17
It is: 3n+2