Answer:
See below.
Step-by-step explanation:
Alexi originally has $43 in his bank account and deposits $7 per week.
Week 1: $50
Week 2: $57
Week 3: $64
Week 4: $71
Week 5: $78
The pattern is that it increased $7 every week starting from $43.
A pattern rule would be: y = 7x + 43 where x represents the number of weeks.
Answer:
30 miles
Step-by-step explanation:
Given that:
Alex has some target to run a certain number of miles by the end of the month.
Goal already achieved = 40% of the total goal
Number of miles already run by Alex = 12 miles
To find:
Number of miles that Alex is trying to run by the end of month?
Solution:
We have to find nothing but the goal of Alex here.
Let the number of miles that Alex is trying to run by the end of the month =
miles
As per question statement:
40% of total number of miles to be run = 12 miles
OR

Total number of miles that Alex is trying to run by the end of the month = <em>30 miles</em>
Answer:
= 5n - 2
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₄ = 18 , then
a₁ + 3d = 18 , that is
3 + 3d = 18 ( subtract 3 from both sides )
3d = 15 (divide both sides by 3 )
d = 5
Then
= 3 + 5(n - 1) = 3 + 5n - 5 = 5n - 2 ← explicit rule