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0.5n(n+1)
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1, 3, 6, 10, ... The nth term is n*(n+1)/2
It is an expression used in the context of sequences and refers to a way of expressing any term in the sequence using an index or counter. It is often called the nth term.
The given sequence is decreasing by 2 each time, so the pattern is -2. To find the nth term, we can use the formula for the nth term of an arithmetic sequence: (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 = 11), the common difference (d = -2), and we want to find the nth term. So, the nth term formula becomes (a_n = 11 + (n-1)(-2) = 13 - 2n).