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telo118 [61]
2 years ago
5

Consider the arithmetic sequence: 6, 2, -2, -6, \dots6,2,−2,−6,…6, comma, 2, comma, minus, 2, comma, minus, 6, comma, dots If nn

n is an integer, which of these functions generate the sequence? Choose all answers that apply: Choose all answers that apply:
Mathematics
2 answers:
natka813 [3]2 years ago
7 0

Answer:

a_n=-4n+10

Step-by-step explanation:

Let us consider the given terms one by one:

First term, a = 6

Second term, a_2=2

Difference between First and Second term = 2 - 6 = -4

Third term, a_3 = -2

Difference between Second and Third term = -2 - 2 = -4

Fourth term, a_4 = -6

Difference between Second and Third term = -6 -(-2) = -4

Therefore, the common difference is:

d = -4

Let the use the formula for n^{th} term of an arithmetic sequence:

a_n=a+(n-1)d

Putting the values of a and d:

a_n=6+(n-1)(-4)\\\Rightarrow a_n=6-4n+4\\\Rightarrow a_n=-4n+10

Therefore, the n^{th} term is:

a_n=-4n+10

inysia [295]2 years ago
6 0

Answer:

on khan academy, b! goooood luck! :D

Step-by-step explanation:

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