2. (5 points) Write a recursive rule for the arithmetic sequence: 3.9, 8.2, 12.5, 16.8, 21.1, ...

3. (5 points) Write an explicit rule for the geometric sequence: 2048, 512, 128, 32, ...

37/3

step-by-step explanation:

step 1: simplify both sides of the equation.

7x+8(x+

1

4

)=3(6x−9)−8

7x+(8)(x)+(8)(

1

4

)=(3)(6x)+(3)(−9)+−8(distribute)

7x+8x+2=18x+−27+−8

(7x+8x)+(2)=(18x)+(−27+−8)(combine like terms)

15x+2=18x+−35

15x+2=18x−35

tep 2: subtract 18x from both sides.

15x+2−18x=18x−35−18x

−3x+2=−35

step 3: subtract 2 from both sides.

−3x+2−2=−35−2

−3x=−37

step 4: divide both sides by -3.

−3x

−3

=

−37

−3

x=

37

3

yes the total will be same because in both of them the expression.is rearranged but their sign remains the same hence it hss just been shuffled

answer: both chords and diameters have two endpoints on a circle. diameters must intersect the center of a circle.