Create an explicit formula of the sequence. 7, 14, 28, 56, find the 10th term of the sequence. complete your work in the space provided or upload a file that can display math symbols if your work requires it. in your answer, be sure to include the explicit formula and the 10th term of the sequence.

  an = 7·2^(n-1)

  a10 = 3584

Step-by-step explanation:

(a) The terms of the sequence do not have a common difference, but they do have a common ratio. That ratio is 14/7 = 2. The general term of a geometric sequence with first term a1 and common ratio r is ...

  an = a1·r^(n-1)

For a1=7 and r=2, the explicit formula is ...

  an = 7·2^(n-1)

__

(b) The 10th term is ...

  a10 = 7·2^(10 -1) = 7·512

  a10 = 3584

step-by-step explanation:

let's assume

number of candles set =x

price of of x candles =p(x)

we are given

a candle maker prices one set of scented candles at $10 and sells an average of 200 sets each week

so, we get point as (200,10)

he finds that when he reduces the price by $1, he then sells 50 more candle sets each week

so, we can find slope

now, we can use point slope form of line

now, we can plug values

we can use point

and find b

now, we can plug it back

and we get

now, we can find revenue

we know that

revenue = price*quantity

so, we get