Given:
The given arithmetic sequence is:

To find:
The recursive formula of the given arithmetic sequence.
Solution:
We have,

Here, the first term is -3. So,
.
The common difference is:



The recursive formula of an arithmetic sequence is:

Where, d is the common difference.
Putting
, we get

Therefore, the recursive formula of the given arithmetic sequence is
, where
.
Answer:
Freezer A is better option as price per cubic foot is less for Freezer A
Step-by-step explanation:
Data provided in the question:
Measure of Freezer A = 1 ft × 1 ft × 5 ft
Measure of Freezer B = 1.5 ft × 1.5 ft × 4 ft
Price of Freezer A = $300
Price of Freezer B = $600
Now,
Volume of Freezer A = 1 ft × 1 ft × 5 ft
= 5 ft³
Volume of Freezer B = 1.5 ft × 1.5 ft × 4 ft
= 9 ft³
Now,
Price per cubic foot for Freezer A = $300 ÷ 5 ft³
= $60/ft³
Price per cubic foot for Freezer B = $600 ÷ 9 ft³
= $66.67/ft³
Hence,
Freezer A is better option as price per cubic foot is less for Freezer A
Answer:
1 gamma = 15/8 alphas
Step-by-step explanation:
so we start by finding out what 1 gamma and 1 beta equals.
we know 4 gammas = 5 betas so if we divide by four on both sides we get:
1 gamma = 5/4 betas. we can apply that same procedure to 2 betas = 3 alphas and get 1 beta = 3/2 alphas
we know that 1 gamma = 5/4 betas and 1 beta = 3/2 alphas so how many alphas = 5/4 betas? using a proportion of ((3/2)/1) = ((x)/(5/4)) we can find that 5/4 betas = 15/8 alphas
therefore we know 1 gamma = 15/8 alphas or 1 and 7/8 alphas
Answer:
a) 6/9 shaded.
b) About 67% is shaded. (66.6% repeating rounded to 67%)
I think that the answer is
5/6
hope i helped :)