How can the next term in the infinite sequence 1, 5, 12, 22, 35, ... be generated? A. Square the term number, subtract the tem number from the result, multiply by 3, and divide the result by 2.
B. Square the term number, multiply the result by 3. divide by 2, and subtract the term number from the result.
C. Square the term number, divide the result by 2 subtract the term number, and multiply the result by 3.
D. Square the term number, multiply the result by 3 subtract the tem number, and divide the result by 2.​

Its D

Square the term number, multiply the result by 3, subtract the term number, and divide the result by 2

answer: ouch. thats difficult

step-by-step explanation:

∠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.