Each number in a sequence is formed by doubling the previous number and then adding 1. If the ninth number in the sequence is63, what is the 10th number minus the 7th number?

Step-by-step explanation:

Given

Required

Find

From the question, we have that:

Each sequence = 2 * Previous sequence + 1;

i.e.

Considering the 9th sequence;

------ Equation 1

Considering the 8th sequence;

Substitute for in equation 1

becomes

Open bracket

Substitute 63 for

Subtract 3 from both sides

Divide both sides by 4

Considering

Substitute 63 for

Calculating

Hence, the 10th - 7th number is 112

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.

she would want to sell 10 full-year subscriptions and at least 9 half-year subscriptions to get a total of at least $300. 

i hope this answer you! if you have any further questions or concerns, feel free to ask! : )

step-by-step explanation:

mark brainliest!