Nyah receives a chain letter and has to copy the letter and send it to 4 of her friends,

have to copy the letter and send it to 4 other friends, and so on.

Finding the number of letters sent on the nth mailing is an example of

a geometric sequence

COMPLETE

If everyone who receives a letter participates, how many letters will be sent on the si

54 X = 4,096

COMPLETE

By the sixth mailing, how many people will have participated since the start?

DONE

I need the last part

1. Geometric sequence

2. 4,096

3. 5,460

Step-by-step explanation:

Part 1

Since the number of letters sent is multiplied by 4 for any subsequent term, the sequence is an example of a geometric sequence as it grows exponentially.

Part 2

Given a geometric sequence, the nth term is determined using the formula:

In this case,

a=1 (i.e. Nyah)

r=4

Since we want to determine how many letters will be sent on the sixth mailing(i.e after Nyah), n=7

Substituting

Part 3

To determine how many people would have participated by the sixth mailing, we are required to find the sum of the first seven terms of the geometric sequence.

We use the sum of a geometric sequence formula

Therefore, excluding Nyah, 5460 people would have participated by the sixth mailing.

its 69.420

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is