Answer:
The 8th term of the sequence is 896/2187.
Step-by-step explanation:
We want to find the 8th term of a geometric sequence whose common ratio is 2/3 and whose first term is 7.
We can write a direct formula. Recall that the direct formula of a geometric sequence is given by:

Where <em>a</em> is the initial term and <em>r</em> is the common ratio.
Substitute:

To find the 8th term, let <em>n</em> = 8. Substitute and evaluate:

In conclusion, the 8th term of the sequence is 896/2187.
Answer:
Three times the difference of two times a number and five is equal to 24, what is x?
Step-by-step explanation:
To write any equation in word problems, it is important to identify all your parenthesis operations by their technical names. Subtraction is a difference. So since we are multiplying it by 3, it becomes three times a difference.
Answer:
x≈231.123
Step-by-step explanation:
1) Make a ratio 314/2512= x/1584
2) Use the concept of cross multiplication and get 314*1584=2512x
3) Use Algebra:
314*1584=497,376
497,376/2152=2512x/2152
x≈231.123
Answer:
10
Step-by-step explanation:
Price of baseball hats without shipping = $130.49 - $3.99 = $126.50
Number of baseball hats he ordered: $126.50 ÷ $12.65 = 10
Answer:
499
9
April 12 2021
Step-by-step explanation:
1 and 500 are the smallest and largest
12 is the highest common factor
Every 12 days they have an appointment together