The sum of the first 8 terms is 2.51 to the nearest hundredth
Step-by-step explanation:
In the geometric sequence there is a constant ratio between each two consecutive terms
The formula of the sum of n terms of a geometric sequence is:
, where
- a is the first term
- r is the constant ratio between the consecutive terms
∵ The sequence is 6 , -5 , 25/6 , .............
∵ -5 ÷ 6 = 
∵
÷ -5 = 
- There is a constant ratio between the consecutive terms
∴ The sequence is a geometric sequence
∵ The first term is 6
∴ a = 6
∵ The constant ratio is 
∴ r = 
∵ We need to find the sum of 8 terms
∴ n = 8
- Substitute the values of a, r and n in the rule above
∴
∴ 
- Round it to the nearest hundredth
∴ 
The sum of the first 8 terms is 2.51 to the nearest hundredth
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It takes only 2 years
because
31,006,000 x 1.2% = 6,201,200
so,
31, 006, 000 + 6,201,200 = 37, 207, 200
37, 207, 200 + 6,201,200 = 43, 408, 400
Answer:
270 Miles
Step-by-step explanation:
18 miles per gallon
15 gallons
Basically count 18, 15 times
18*15=270
The van can travel 270 miles
Let, cost of 1 hot dog and 1 drink is x and y respectively.
Carl bought 4 hot dogs and 6 drinks and paid $23.80.
4x + 6y = 23.80 ....1)
Susan purchased 4 hot dogs and 2 drinks and was charged $15.40.
4x + 2y = 15.40 ....2)
Subtracting equation 2 by 1, we get :
(4x + 6y) - (4x + 2y) = 23.80 - 15.40
4y = 8.4
y = $2.1
4x + 6×2.1 = 23.80
4x = 23.80 - 12.2
4x = 11.6
x = 2.9
Therefore, the cost of 1 hot dog and what is the cost of 1 drink is $2.9 and $2.1 respectively.
Hence, this is the required solution.