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frez [133]
2 years ago
5

Find an equation for the nth term of the arithmetic sequence. -1, 2, 5, 8, ...

Mathematics
2 answers:
vladimir1956 [14]2 years ago
4 0

Answer:

The expression for the n-th term is a_n = -4+3n.

Step-by-step explanation:

We know that the n-th term of an arithmetic progression is given by a_n= a+nd. So we need to find the coefficients a and d. In order to do this, we substitute the values n=1 and n=2 in the expression for a_n:

a_1 = a+d    = -1,

a_2 = a+2d = 2.

Now, notice that we have two linear equations with two unknowns, which it is not difficult to solve. Thus, the solution is d=3 and a=-4.

Hence, the expression for the n-th term is a_n = -4+3n.

We can check that the expression is correct substituting the values n=3 which gives a_3 = 5 and n=4 which gives a_4 = 8, as it is given in the statement of the problem.

aev [14]2 years ago
3 0
-1 + 3(n-1)
hope this helps you

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