The next three terms in the sequence are 116 , 159 and 209
We are supposed to find the next 3 terms in the sequence:
5, 6, 14, 29, 51, 80, ___, ___, ___.
Here we can are first supposed to find the pattern which is as follows:
[tex]6-5=1\\14-6=8\\29-14=15\\51-29=22\\80-51=29\\[/tex]
Therefore difference between the numbers is 7 more than the previous one i.e,
[tex]1+7=8\\8+7=15\\15+7=22\\22+7=29[/tex]
Let required three numbers be x, y and z
So [tex]x-80=29+7=36\\x=116[/tex]
[tex]y-116=36+7=43\\y = 159[/tex]
and [tex]z-159=43+7=50\\z=209[/tex]
Hence x = 116, y = 159 and z = 209
- Sequence: A sequence is an arrangement of numbers in a particular and ordered manner.
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