Answer:
an = 5 + 2n
Step-by-step explanation:
Each time it increases by the same amount (2), so this is an arithmetic sequence:
an = a₁ + d (n - 1)
Given a₁ = 7 and d = 2:
an = 7 + 2 (n - 1)
an = 7 + 2n - 2
an = 5 + 2n
Check our answer:
n=1: a₁ = 5 + 2(1) = 7
n=2: a₂ = 5 + 2(2) = 9
n=3: a₃ = 5 + 2(3) = 11
n=4: a₄ = 5 + 2(4) = 13
Answer:
9c
Step-by-step explanation:
- c represents # of cars
- 9 times more than the amount of cars
- 9c
<em>The Nisaa Institute for Women’s Development</em>
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The distance between point <span>(-6, -1) and point (4, 3) is 10.77.</span>
Consider the sequence
and so on. We can simplify each of these terms as
and so on, with the general pattern
As , the exponent takes on the value of , since
Then the sequence converges to .