Answer:
Step-by-step explanation:
In a geometric sequence, the consecutive terms differ by a common ratio,r. Considering the given sequence,
r = 6/- 2 = - 18/6 = - 3
Therefore, the sequence is geometric.
The formula for determining the nth term of a geometric progression is expressed as
Tn = ar^(n - 1)
Where
a represents the first term of the sequence.
r represents the common ratio.
n represents the number of terms.
From the information given,
a = - 2
r = - 3
The explicit formula is
Tn = - 2 × (- 3)^(n - 1)
To find the 8th term, T8,
T8 = - 2 × (- 3)^(8 - 1)
T8 = - 2 × (- 3)^7
T8 = - 2 × - 2187
T8 = 4374
Answer: 5458
Step-by-step explanation: So the mean is the same thing as the average. To find the mean you add up all of the numbers, and then divide by 5 because there are five numbers. So the sum would be 27,290. Then that divided by 5 would be 5458.
The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.
Step-by-step explanation:
Let,
Price of one vegetarian special lunch = x
Price of one chicken special lunch = y
According to given statement;
21x+40y=467 Eqn 1
28x+36y=484 Eqn 2
Multiplying Eqn 1 by 28
Multiplying Eqn 2 by 21
Subtracting Eqn 4 from Eqn 3
Dividing both sides by 364
Putting y=8 in Eqn 1
Dividing both sides by 21
The price of one vegetarian special lunch is $7 and price of one chicken special lunch is $8.
Keywords: linear equation, elimination method
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An = a1 + (n - 1)(d)
Where a1 is the first term and d is the common difference.
First find d, the common difference.
24, ____, 32
a3 a4 a5
Subtract 32-24 = 8
Subtract a5 - a3 = 2
Divide 8/2 = 4
d = 4
Use d and one of the values they give us to find a1.
a3 = 24
24 = a1 + (3 - 1)(4)
24 = a1 + 2(4)
24 = a1 + 8
Subtract 8 from both sides
16 = a1
an = 16 + (n - 1)(4)
Can also be written
an = 16 + 4n - 4
an = 4n + 12
