Step-by-step explanation:
Find the nth term of this number sequence 1, 10, 19, 28, ... Pls help
2 answers:
Answer:
9n - 8
Step-by-step explanation:
The sequence is arithmetic since the difference between consecutive terms is common
d = 10 - 1 = 19 - 10 = 28 - 19 = 9
The n th term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
here a₁ = 1 and d = 9, thus
= 1 + 9(n - 1) = 1 + 9n - 9 = 9n - 8, hence
= 9n - 8
You might be interested in
You only flip the inequality sign when you multiply or divide both sides by a negative number.
================================================
Problem 1
The inequality sign flip happens because we divided both sides by -8.
The graph will have a closed circle at 4 with shading to the left.
Three solutions are x = 0, x = 1, x = 2. You can pick any three numbers you want as long as they are 4 or smaller.
================================================
Problem 2
The graph will have an open circle at 13/3 = 4&1/3 = 4.333 approx. The shading is to the left. No inequality sign flip happens because we divided both sides by a positive number.
Your choice of three solutions is correct. You can pick anything smaller than 4.3333
================================================
Problem 3
The solution set is any value 3 or larger. Three solutions are x = 5, x = 6 and x = 7.
The graph has a closed circle at 3 on the number line. The shading is to the right.