Write the explicit rule of the arithmetic sequence that has a first term of 3 and a fourth term of 18
1 answer:
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
You might be interested in
Answer:
A
Step-by-step explanation:
- (x + 3) > x - 3 ( multiply both sides by 2 to clear the fraction )
- (x + 3) > 2x - 6 ← distribute parenthesis on left side by - 1
- x - 3 > 2x - 6 ( subtract 2x from both sides )
- 3x - 3 > - 6 ( add 3 to both sides )
- 3x > - 3
divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity
x < 1