in the sequence of numbers a3=0 a4=6 a5=12 a6=18 a7=24 based on this information which equation can be used on the nth term in the sequence an

Answer:Tnth=6n-6

Step-by-step explanation:

a3=0, a4=6, a5=12, a6=18, a7=24

based on the information given it shows that it is arithmetic sequence since the common difference (d) = a6-a5=18-12=6

a2=a3-6=

a2=0-6=-6

a1=a2-6

a1=-6-6

a1=-12

Tnth=a+d (n-1)

Tnth=-12+6 (n-1)

Tnth=-12+6n+6

Collect like terms

Tnth=-12+6+6n

Tnth=6n-6

This is an = (n-3) * 6

like a3 = (3-3) * 6