Oh, dude, that's just a simple arithmetic sequence with a common difference of -4. So, to find the nth term, you can use the formula a_n = a_1 + (n-1)d, where a_1 is the first term (10), d is the common difference (-4), and n is the term number. Just plug in the values and you'll get your nth term. Easy peasy, lemon squeezy!
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The given sequence is an arithmetic progression.
a = first term of A.P. = 10, d = common difference = an - an-1 = -4
nth term of an A.P. is given by: an = a+(n-1)d
Plugging in the values we get an = 10+(n-1)(-4) = 10 - 4n + 4 = 14 - 4n.
It is: nth term = -4n+14
The nth term is (2n - 12).
The nth term in this arithmetic sequence is an=26+(n-1)(-8).
10 - 4n
The given sequence 6, 8, 10, 12 is an arithmetic sequence with a common difference of 2 between each term. To find the nth term of an arithmetic sequence, you can use the formula: (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) is 6 and the common difference (d) is 2. So, the nth term (a_n = 6 + (n-1)2 = 2n + 4).