The sum of 3 consecutive terms of an arithmetic sequence is 165. The second of these terms is 11 times the first. Find the 3 terms

From what I gathered:

S(3) = 165 t(2)= 11(t1)

The given formulas are:

Sn= n/2[2a+(n-1)d] and tn=a+(n-1)d

I have no idea how to continue.

1 answer

All you need to find is a and d

he first thing to do is use the formulas correctly, and use all the data given:

S3 = 3/2 (2a + 2d) = 165
T2 = a+d = 11a

So, d = 10a
3/2 (2a+20a) = 165
22a = 110
a = 5
d = 50

The sequence starts 5 55 105