Given the sequence rn defined recursively below, find r4.

r1=2

rn=4rn−1−3

Step-by-step explanation:

Given

Required

Find

Calculating the value of

This means n = 4;

Hence,

At this point, we need to solve for ;

Taking n as 3

At this point, we need to solve for ;

Taking n as 2

Substitute 2 for

Solving for

Substitute 5 for

Solving for

Substitute 17 for

Hence,

c. 16 units

step-by-step explanation:

mark brainliest and have a great day!

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions