Question

Find the 29th term of the following sequence. 2, 13, 24, 35,....

Answer 1

First you have to find the rate of change. It would be 11 because 35 - 24 = 11, 24 - 13 = 11 and 13 - 2 = 11.

These are the first 4 terms so just keep adding on 11 until you get 29 terms.

2, 13, 24, 35, 46, 57, 68, 79, 90, 101, 112, 123, 134, 145, 156, 167, 178, 189

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18

200, 211, 222, 233, 244, 255, 266, 277, 288, 299, 310

19 20 21 22 23 24 25 26 27 28 29

Your final answer would be 310.

Answer 2

321

Look for a pattern: The term is 11 more than the number before. this means 11 is added each time.

Since you start with 2 and the number goes up by 11 per term, the equation you would use to find the nth term would be 11n+2

To find the 29th term, simply plug in 29

11n+2

11(29)+2

321

The 29th term is 321.