Answer:
64
Step-by-step explanation:
As the sequence is linear the rate of increase stays constant as we can see from the formula: [tex]S_n=mn+i[/tex] so it increases by m every term. In this all we do is subtract 13 from 28 to find the number of terms in between:
28-13=15
now we find the difference between 152 and 92
152-92=60
now we divide 60 and 15
60÷15=4
So M is 4 meaning every term has a difference of 4.
So now we can subtract 6 from 13:
13-6=7
Then multiply the difference per term (4) by 7
4×7=28
Finally we subtract 28 from 92 (13th terms value)
92-28=64
