Answer:
T9=60
Explanation:
step 1: solve for x
it is an arithmetic pattern,so the 1st difference is the common difference (d)
therefore...9x+199x+11-(4x+44x+4)=14x+18-(9x+199x+11)
128x+11-48x-4=14x+18-128x-11
80x+7=-144x+7
80x+144x=7-7
224x=0
224x/224=0/224
X=0
step 2: substitute for x
4(0)+44(0)+4=4[1st term]
9(0)+119(0)+11=11(2nd term)
14(0)+18=18(3rd term)
step 3:find the common difference
d=3rd term- 2nd term, 2nd term-1st term
3rd term-2nd term
18-11=7
2nd term-1st term
11-4=7
therefore...d=7
step 4:find the general formula
we use the formula Tn=a+(n-1)d to find the general formula/ nth term
where: Tn is the nth term
a is the first term
n is the number of term
d is the common difference
Tn=a+(n-1)d
=4+(n-1)7
=4+7n-7
=7n-3
step 5:find the 9th term
Tn=a+(n-1)d
=7n-3
=7(9)-3
=60