A(n+1)=A(n)+4 for n21 and A(1)=-6*
Hep

9514 1404 393

  74

Step-by-step explanation:

The recursive definition is for an arithmetic sequence with a first term of -6 and a common difference of 4.

The general term of such a sequence is ...

  a(n) = a(1) +d(n -1)

This sequence is ...

  a(n) = -6 +4(n -1) = 4n -10

Then for n = 21, the term is ...

  a(21) = 4(21) -10 = 84 -10

  a(21) = 74

g = (2, 2)

step-by-step explanation:

given the ratio is 1 : 1 then f is the midpoint of eg

let the coordinates of g = (x, y)

using the midpoint formula

(0 + x) = 1 ( multiply both sides by 2 )

0 + x = 2 ⇒ x = 2

similarly

(4 + y) = 3 ( multiply both sides by 2 )

4 + y = 6 ( subtract 4 from both sides )

y = 2

coordinates of g = (2, 2)