Answer:
Cole has 62.11 grams of pepper left.
Factored form
Answer:
2(2x + 1)(3x - 5)
Step-by-step explanation:
Answer:
(x+3)(x+5)
Step-by-step explanation:
what two numbers will multiply to 15 and add up to 8?
3 and 5
so
(x+3)(x+5)
a) an = 6an-1, a0 = 2
b) an = −2an-1, a0 = −1
c) an = an-1 – an-2, a0 = 2, a1 = −1
a) The first five terms of the sequence are 2, 12, 72, 432, 2592.
b) The first five terms of the sequence are -1, 2, -4, 8, -16.
c) The first five terms of the sequence are 2, -1, -3, -2, 1.
To find the first five terms of the sequence defined by each of these recurrence relations and initial conditions, we will use the given recurrence relation and initial conditions to find the next terms in the sequence.
a) an = 6an-1, a0 = 2
The first term is given as a0 = 2. We will use the recurrence relation to find the next terms.
a1 = 6a0 = 6(2) = 12
a2 = 6a1 = 6(12) = 72
a3 = 6a2 = 6(72) = 432
a4 = 6a3 = 6(432) = 2592
So, the first five terms of the sequence are 2, 12, 72, 432, 2592.
b) an = −2an-1, a0 = −1
The first term is given as a0 = -1. We will use the recurrence relation to find the next terms.
a1 = -2a0 = -2(-1) = 2
a2 = -2a1 = -2(2) = -4
a3 = -2a2 = -2(-4) = 8
a4 = -2a3 = -2(8) = -16
So, the first five terms of the sequence are -1, 2, -4, 8, -16.
c) an = an-1 – an-2, a0 = 2, a1 = −1
The first two terms are given as a0 = 2 and a1 = -1. We will use the recurrence relation to find the next terms.
a2 = a1 - a0 = -1 - 2 = -3
a3 = a2 - a1 = -3 - (-1) = -2
a4 = a3 - a2 = -2 - (-3) = 1
So, the first five terms of the sequence are 2, -1, -3, -2, 1.
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Answer:
Sequence .
Step-by-step explanation:
Given : sequence 3/4, 6/5, 9/6, 12/7, 15/8 .
To find : The general term for the sequence.
Solution : We have given that 3/4, 6/5, 9/6, 12/7, 15/8 .
Here numerators are 3 , 6, 9 , 12, 15
Denominators are 4 ,5 , 6, 7, 8.
We can see in numerators all are multiple of 3
As, 3 × 1 , 3 × 2, 3 × 3 ...... etc
We can write it as : 3n
Denominator are 3 +1 , 3 +2 , 3 +3 ..........etc
We can write it as 3 +n
So , sequence become
Therefore, sequence .