Answer:
The general rule for the nth term of this sequence will be:
Step-by-step explanation:
Given the sequence
12a, 15a, 18a, 21a, 24a,...
An arithmetic sequence has a constant difference 'd' and is defined by
Here,
a₁ = 12a
computing the differences of all the adjacent terms
d = 15a-12a = 3a, d = 18a-15a=3a, d=21a-18a=3a, d=24a-21a=3a
using the nth term formula
substituting a₁ = 12a, d = 3a
Therefore, the general rule for the nth term of this sequence will be:
Answer:
its is
Step-by-step explanation:
it is x vs minus 2
Answer:
p < 8
Step-by-step explanation:
Let p = number of pounds of candy Lena will buy
Given:
- Candy = $5 per pound
- Lena will spend less than $40
Create an inequality using the given information:
⇒ 5p < 40
Solve the inequality:
⇒ 5p < 40
Divide both sides by 5
⇒ p < 8
Answer:
x = 3
Step-by-step explanation:
<u>Step 1: Plug in 12 for y</u>
<em>2x - 18 = -2(12) + 12</em>
<em />
<u>Step 2: Multiply</u>
<em>2x - 18 = -24 + 12</em>
<em />
<u>Step 3: Combine</u>
<em>2x - 18 = -12</em>
<em />
<u>Step 4: Add 18 to both sides</u>
2x - 18 + 18 = -12 + 18
<em>2x = 6</em>
<em />
<u>Step 5: Divide both sides by 2</u>
2x / 2 = 6 / 2
<em>x = 3</em>
<em />
Answer: x = 3
Answer:
b = a/c
Step-by-step explanation:
Let’s say that a is 10, b is 2 and c is 5
10/5 = 2
To solve for c (5), divide 10 by 2
