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Finding the nth term is much simpler than it seems. For example, say you had the sequence:
1,4,7,10,13,16 Sequence 1
First we find the difference between the numbers.
1 (3) 4 (3) 7 (3) 10 (3) 13 (3) 16
The difference is the same: 3. So the start of are formula will be 3n.
If it was 3n, the sequence would be 3,6,9,12,15,18 Sequence 2
But this is not our sequence. Notice that each number on sequence 2 is 2 more than sequence 1. this means are final formula will be:
3n+1
Test it out, it works!
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What are the first 4 terms of the sequence which has the nth term formula?
the first 4 terms of the sequence which has the nth term is a sequence of numbers that that goe together eg. 8,12,16,20,24 the nth term would be 4n+4
How do you find the given term in a geometric sequence?
nth term Tn = arn-1 a = first term r = common factor
What is the sum of first six terms of a sequence whose nth term is 8 - n?
nth term is 8 - n. an = 8 - n, so the sequence is {7, 6, 5, 4, 3, 2,...} (this is a decreasing sequence since the successor term is smaller than the nth term). So, the sum of first six terms of the sequence is 27.
What is the nth term of the arithmetic sequence 7 5 3 1?
To find the nth term of an arithmetic sequence, you need to first identify the common difference between consecutive terms. In this case, the common difference is -2 (subtract 2 from each term to get the next term). The formula to find the nth term of an arithmetic sequence is: 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. Plugging in the values from the sequence (a_1=7, d=-2), the nth term formula becomes: a_n = 7 + (n-1)(-2) = 9 - 2n.
What is the nth term for the sequence 57 55 53 51?
(Term)n = 59 - 2n
