16,8,4,2,1 find the next two terms

note: in decimal form, 1/2 = 0.5 and 1/4 = 0.25

Explanation:

This sequence is geometric with the common ratio r = 1/2 = 0.5

Multiply each term by 1/2 to get the next

16 times 1/2 = 16 times 0.5 = 8

8 times 1/2 = 8 times 0.5 = 4

4 times 1/2 = 4 times 0.5 = 2

2 times 1/2 = 2 times 0.5 = 1

1 times 1/2 = 1/2 = 0.5

1/2 times 1/2 = 1/4 = 0.25

So that's how we end up with 1/2 = 0.5 and 1/4 = 0.25 as the next two terms.

As a shortcut, you can use the nth term formula

an = 16*(1/2)^(n-1)

and plug in n = 6 and n = 7 to generate the next two terms a6 and a7. You should get 1/2 and 1/4 as your results.

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

step-by-step explanation:

formula

x = x1 + p/w(x2 - x1)

let the line segment ab with a(x1,y1) and b(x2,y2)

a point(x,y) divide ab in the ratio, 2: 3 the x coordinate can be written as

x = x1 + p/w(x2 - x1)

here p=2 and w = 2+3

therefore,

x coordinate can be written by using the formula, x= x1 + 2/5(x2 - x1)

similarly y coordinate y = y1 + 2/5(y2 - y1)