Find the explicit formula for 5, 9, 13, 17
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aₙ = 4n + 1

Step-by-step explanation:

The terms of your sequence are.

5, 9, 13, 17

This is an arithmetic sequence, because there is a constant difference of 4 between consecutive terms.

The explicit formula for the nth term of an arithmetic sequence is

aₙ = a₁ + d(n - 1 )

a₁ is the first term, and d is the difference in value between consecutive terms. Thus,  

aₙ = 5 + 4(n - 1) = 5 + 4n - 4

aₙ = 4n + 1

The explicit formula for sequence is aₙ = 4n + 1.

x = -4

step-by-step explanation:

- 20 - 4(x + 3) = 4x

=> -20 - 4x - 12 = 4x

=> - 32 -4x = 4x

=> -32 = 4x + 4x

=> - 32 = 8x

=> -32/8 = x

=> -4 = x

my guess is

step-by-step explanation: