B) Here are the first four terms of another sequence. 7
11 15 19
Write an expression for the nth term of this sequence.

= 4n + 3

Step-by-step explanation:

There is a common difference between consecutive terms, that is

11 - 7 = 15 - 11 = 19 - 15 = 4

This indicates the sequence is arithmetic with nth term

= a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 4 , then

= 7 + 4(n - 1) = 7 + 4n - 4 = 4n + 3

d

step-by-step explanation:

18 units²

step-by-step explanation:

first let's find altitude bd using the distance formula

d = √((y₂ - y₁)² + (x₂ - x₁)²)

bd = √((0 - -3)² + (0 - 3)²)

bd = √18

given the placement of points a and c, we can denote that point d bisects segment ac.

we will call ac the base.

using the distance formula

ac = √((0 - 6)² + (-6 - 0)²)

ac = √72

knowing our base and our height, we can plug these into our triangle area formula

area = (b * h)/2

area = (√18 * √72) / 2

area = (√1296) / 2

area = 36 / 2

area = 18 units²