Answer:
aₙ = aₙ₋₁ + aₙ₋₂
where:
a₁ = 6
a₂= 1.
Step-by-step explanation:
We have the sequence:
6, 1, 7, 8, 15, 23, ...
Is easy to see that this sequence works as follows:
You take 2 consecutive numbers, and the next number is the sum of these two.
Then we have:
6 + 1 = 7
1 + 7 = 8
7 + 8 = 15
8 + 15 = 23
Then the n-th term is equal to the sum of the (n - 1) term and the (n - 2) term.
This is written as:
aₙ = aₙ₋₁ + aₙ₋₂
Because in the recursive rule needs two previous terms, we need to specify the two first terms of the sequence.
Then we need to write also:
a₁ = 6
a₂= 1.
flooring a value, simply means, dropping it to the closest integer, so for the floor function or ⌊x⌋, that means
⌊ 2.5 ⌋ = 2
⌊ 2.00000001 ⌋ = 2
⌊ 2.999999999999⌋ = 2
⌊ -2.0000000001⌋ = -3
⌊ -2.999999999999⌋ = -3
let's recall that on the negative side of the number line, the farther from 0, the smaller, so -1,000,000 is a tiny number compared to the much larger -1.
⌊ -5.2 ⌋ = -6.
Answer:
Step-by-step explanation:
Given that a bank representative studies compound interest, so she can better serve customers. She analyzes what happens when $2,000 earns interest several different ways at a rate of 2% for 3 years.
a) the interest if it is computed using simple interest. 12.00
=
dollars
b) the interest if it is compounded annually.
=
dollars
c) the interest if it is compounded semiannually
=
d) the interest if it is compounded quarterly.
=
e) the interest if it is compounded monthly.
=
