what is the 83rd term for the arithmetic sequence

Question

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Respuesta :

AlonsoDehner AlonsoDehner · Answer 1 · 2018-12-09T01:44:05+01:00

Answer:

306

Step-by-step explanation:

given an Arithmetic sequence with I term

a = -22, and common difference d = -18-(-22) = 4

We have to find the nth term

We know that an arithmetic sequence is a sequence which follows a pattern of adding the same d to the previous term to get the successive term.

Hence we get

[tex]a_{n} =a+(n-1)d\\a_{83} =-22+(83-1)4 \\= -22+328\\= 306[/tex]

Thus we get 83rd term = 306

alinakincsem alinakincsem · Answer 2 · 2018-12-09T02:25:40+01:00

Answer:

306

Step-by-step explanation:

We know that the formula of an arithmetic sequence with the same common difference is given by:

[tex]a_n=a_1+(n-1)d[/tex]

where [tex]a_n[/tex] is the term that we want to find out,

[tex]a_1[/tex] is the first term of the sequence,

[tex]n[/tex] is the number or position of the unknown term; and

[tex]d[/tex] is the common difference.

Here, [tex]a=-22[/tex] and [tex]d=-18-(-22)=4[/tex].

So putting in these values in the formula to get:

[tex]a_83=(-22)+(83-1)(4)[/tex]

[tex]a_83=-22+328[/tex]

[tex]a_83=306[/tex]

Therefore, the 83rd term of the given sequence is 306.