What is the linear function defines the following Arithmetic Sequence? -5, -3, -1, 1, 3, ... a. an = -5 + 2(n - 1)

b. an = -5 - 2(n - 1)

c. an = 5 - 2(n - 1)

d. an = 5 + 2(n - 1)

an = -5 + 2( n-1)

Step-by-step explanation:

The formula for an arithmetic sequence is

an = a1+ d ( n-1)

where a1 is the first term and d is the common difference

a1 = -5 since it is the first term in the sequence

d = term 2 minus term1

  = -3 - (-5)

   = -3+5 = 2

an = -5 + 2( n-1)

∠1≅∠2 by the alternate exterior angles theorem.

step-by-step explanation:

given, a ∥ b and ∠1 ≅ ∠3 .we have to prove that e ∥ f

we know that ∠1≅∠3 and that a || b because they are given. we see that by the alternate exterior angles theorem. therefore, ∠2≅∠3 by the transitive property. so, we can conclude that e || f by the converse alternate exterior angles theorem.

we have to fill the missing statement.

transitivity property states that if a = b and b = c, then a = c.

now, given ∠1≅∠3 and by transitivity property ∠2≅∠3 .

hence, to apply transitivity property one angle must be common which is not in result after applying this property which is ∠1.

the only options in which ∠1 is present are ∠1 and ∠2, ∠1 and ∠4

∠1 and ∠4 is not possible ∵ after applying transitivity we didn't get ∠4.

hence, the missing statement is ∠1≅∠2.

so, ∠1≅∠2 by the alternate exterior angles theorem.