As n increases by 1, the terms increases by 12. That means that if you add n to the term number, you add 12n to the value. So, start with
Tn = 12n
But T1=18, not 12. So, you need to add 6:
Tn = 12n+6
Or, you can use the general formula for an arithmetic progression with first term=a and common difference=d:
Tn = a + (n-1)d
You know that d=12 and a=18, so
Tn = 18 + (n-1)*12
= 18 + 12n - 12
= 6+12n
Look for a pattern and find the next two numbers in the sequence and then write a general version of the nth term.
1 2 3 4 5 6 7 8 n
18 30 42 54 66 78
I can recognize the pattern as being + 12 so under 7 my answer would be 90 and under 8 my answer would be 102, but how do I figure out what the nth term would be?
1 answer