Find the next two terms of the sequence: 9, 109, 49, 149, 89, 189, 129, 229, 169, …, …
Find the next two terms of the sequence: 9, 109, 49, 149, 89, 189, 129, 229, 169, …, …
The correct option is D 269, 209
The given sequence is 9, 109, 49, 149, 89, 189, 129, 229, 169, …, …
Let us split the above series into two series. The first series will have all the odd terms and the second series will have all the even terms, then the series are:
The sequence of odd terms: 9, 49, 89, 129, 169
The sequence of even terms: 109, 149, 189, 229,
For the sequence of odd terms: 49 - 9 =40, 89 - 49 = 40, 129 - 89 = 40, 169 -129 = 40
For the sequence of even terms: 149 - 109 = 40, 189 - 149 = 40, 229 - 189 = 40
We observe in each of the two sequences that each term is 40 more than the previous term.
So, the next two terms in the above sequence are 229 + 40 = 269 and 169 + 40 = 209.
So, the sequence is 9, 109, 49, 149, 89, 189, 129, 229, 169, 269, 209, ...
The given sequence is 9, 109, 49, 149, 89, 189, 129, 229, 169, …, …
Let us split the above series into two series. The first series will have all the odd terms and the second series will have all the even terms, then the series are:
The sequence of odd terms: 9, 49, 89, 129, 169
The sequence of even terms: 109, 149, 189, 229,
For the sequence of odd terms: 49 - 9 =40, 89 - 49 = 40, 129 - 89 = 40, 169 -129 = 40
For the sequence of even terms: 149 - 109 = 40, 189 - 149 = 40, 229 - 189 = 40
We observe in each of the two sequences that each term is 40 more than the previous term.
So, the next two terms in the above sequence are 229 + 40 = 269 and 169 + 40 = 209.
So, the sequence is 9, 109, 49, 149, 89, 189, 129, 229, 169, 269, 209, ...
