Please help me ASAP for brainliest

a, n(n) = n(1) - 3 x (n - 1)

b, n(n) = n(1) - 5 x (n - 1)

Step-by-step explanation:

We will define the 1st term.

Then we represent all other terms in the form of 1st term and n.

Both sequences are solved in same way.

a,

1st term: n(1) = 4

2nd term: n(2) = 1 = 4 - 3 = n(1) - 3 x 1 = n(1) - 3 x (2 - 1)

3rd term: n(3) = -2 = 4 - 6 = n(1) - 3 x 2 = n(1) - 3 x (3 - 1)

4th term: n(4) = -5 = 4 - 9 = n(1) - 3 x 3 = n(1) - 3 x (4 - 1)

5th term: n(5) = -8 = 4 - 12 = n(1) - 3 x 4= n(1) - 3 x (5 - 1)

...

nth term: n(n) = n(1) - 3 x (n - 1)

b,

1st term: n(1) = -7

2nd term: n(2) = -12 = -7 - 5 = n(1) - 5 x 1 = n(1) - 5 x (2 - 1)

3rd term: n(3) = -17 = -7 - 10 = n(1) - 5 x 2 = n(1) - 5 x (3 - 1)

4th term: n(4) = -22 = -7 - 15 = n(1) - 5 x 3 = n(1) - 5 x (4 - 1)

5th term: n(5) = -27 = -7 - 20 = n(1) - 5 x 4 = n(1) - 5 x (5 - 1)

...

nth term: n(n) = n(1) - 5 x (n - 1)

Hope this helps!

; )

step-by-step explanation: ; )

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