What is the 74th term of this arithmetic sequence?
-25, -21, -17, -13,-9, -5,...

267

Step-by-step explanation:

let's say that

f(0)=-25

so in the sequence we are adding 4

so f(1)=-25+4=-21

and f(2)=f(1)+4=-25+4+4=-25 + 4(2)

so if you continue you will notice that

f(n)=-25+4(n)

so our question is

What is the 74th term of this arithmetic sequence?

so if f(0) is our first term, the 74th will be f(73)

so we can apply our formula

f(73)=-25+4(73)

=-25+292

=267

there are 70 more legs than eyes at the dog show (196 – 126 = 70). dogs have two more legs than eyes, and humans have the same number of legs as eyes. thus 70 is twice the number of dogs at the show, so the number of dogs is half of 70, which is 35. to get the number of humans, subtract 35 from 63: 63 – 35 = 28.

step-by-step explanation: