If f(1) = 7 and f(n) = 5f (n − 1) then find the value of f(5).

f(5) = 4375

Step-by-step explanation:

Given f(n) = 5f(n - 1) and f(1) = 7

This allows us to find the next term in the sequence from the previous term

f(2) = 5f(1) = 5 × 7 = 35

f(3) = 5f(2) = 5 × 35 = 175

f(4) = 5f(3) = 5 × 175 = 875

f(5) = 5f(4) = 5 × 875 = 4375

Simplifying

6x + -2 + 2x = -2 + 4x +8

Reorder the terms:
-2 + 6x + 2x = -2 + 4x + 8

Combine like terms: 6x + 2x = 8x
-2 + 8x = -2 + 4x + 8

Reorder the terms:
-2 + 8x = -2 + 8 + 4x

Combine like terms: -2 + 8 = 6
-2 + 8x = 6 + 4x

Solving
-2 + 8x = 6 + 4x

Add '-4x' to each side of the equation.
-2 + 8x + -4x = 6 + 4x + -4x

Combine like terms: 8x + -4x = 4x
-2 + 4x = 6 + 4x + -4x

Combine like terms: 4x + -4x = 0
-2 + 4x = 6 + 0
-2 + 4x = 6

Add '2' to each side of the equation.
-2 + 2 + 4x = 6 + 2

Combine like terms: -2 + 2 = 0
0 + 4x = 6 + 2
4x = 6 + 2

Combine like terms: 6 + 2 = 8
4x = 8

Divide each side by '4'.
x = 2

Simplifying
x = 2

But round to tenth? For 2 would be 0? My hand hurts now sorry if it’s incorrect