Answer:
4
Step-by-step explanation:
The first term is the value of the term when n=1. It is 3. The common ratio is is the value being raised to the power of (n-1). It is 1/4. Put these numbers into the formula and do the arithmetic
S = 3/(1 -1/4) = 3/(3/4) = 3·4/3 = 4
The sum is 4.
Mr. Blue' salary is an illustration of a geometric sequence
- The explicit rule of Mr. Blue 's salary is an = 30000 * 2^(n - 1)
- The recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000
<h3 /><h3>How to determine the explicit formula?</h3>
Mr. Blue's salary is a geometric sequence with the following parameters:
First term, a1 = 30000
Rate, r = 2
The explicit rule is calculated as:
an = a1 * r^(n - 1)
This gives
an = 30000 * 2^(n - 1)
<h3>How to determine the recursive formula?</h3>
The common ratio is calculated as:
r = an+1/an
Substitute 2 for r
2 = an+1/an
Cross multiply
an+1 = 2an
Hence, the recursive rule of Mr. Blue's salary is an+1 = 2an; a1 = 30000
Read more about arithmetic sequence at:
brainly.com/question/6561461
Answer:
(6x^2)(x^4 +x^2 + 1)
Step-by-step explanation:
6x^6 + 6x^4 + 6x^2
split it up into parts
6x^6 = (6x^2) * x^4
6x^4 = (6x^2) * x^2
6x^2 = (6x^2) * 1
so you can take out 6x^2 to get
(6x^2)(x^4 +x^2 + 1)
Ok. So, if 8 pens cost £12. Then we would divide £12 by 8. Each pen costs £1.5.
So now we are going to multiply £1.5 and 10. £1.5*10=15.
The total of 10 pens is £15.
I hope this helps, if you need any additional help, just ask. I am here to help you as needed.
Micah osmosis represented representatives repress