Respuesta :

Answer:

10

Step-by-step explanation:

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The nth term in an arithmetic sequence is given by n = a + (n - 1) * d, where a is the first term in the sequence, and d is the common difference, given by the expression 2nd term - 1st term = 3rd term - 2nd term = nth term - (n - 1)th term.

So,

n = 1 + (n - 1) * (7 - 1)

n = 1 + (n - 1) * 6

n = 1 + 6n - 6

Take like terms,

n - 6n = 1 - 6

-5n = -5

n = 1,

So the nth term is equal to 1