The nth term of this sequence is 3n + 4
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The given sequence is an arithmetic progression with a common difference of 3. To find the nth term, we use the formula for the nth term of an arithmetic progression: (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 7, the common difference ((d)) is 3, so the nth term is (a_n = 7 + (n-1)3 = 3n + 4).
Oh, what a delightful sequence we have here! Each term is increasing by 3 -- do you see that lovely pattern emerging? So, if we want to find the nth term, we simply need to start with the first term, which is 7, and then add 3 times (n-1) to it. Happy little math moments!
Oh, dude, you just add 3 to each term to get the next one. So, if you start at 7 and keep adding 3, you get 10, then 13, then 16. So, the nth term is just 7 + 3(n-1), where n is the position of the term in the sequence. Easy peasy, right?
The nth term is 3n+7 and so the next number will be 22
The nth term is: 3n+1 and so the next number will be 16
75988 to the 7th
It is: 3n+1
2n+1