Here is a sequence 5, 10, 20, 40, 80
a) What is the term-to-term rule of the sequence?
b) The 10th term in the sequence is 2560.
What is the 11th term in the sequence?

5120

Step-by-step explanation:

80,160,320 2560

You are multiplying by 2 each time.

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)