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 t

Question

2 years ago

7

he sequence an

2 answers:

QveST [7] · Answer 1 · 2022-06-22T01:09:08+03:00

QveST [7]2 years ago

6 0

This is an=(n-3)*6
like a3= (3-3)*6

NeTakaya · Answer 2 · 2022-06-22T02:31:56+03:00

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