The number series below is made by writing the same group of numbers again and again.
2 5 5 8 1 5 2 5 5 8 1 5 2 5 5
If the series is continued in the same way, which number will be the 100th term?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 8
When a series repeats one group of numbers, the term in any place is found by dividing the place number by the length of the group; the remainder gives the place inside the group.
The series starts again with 2 5 5 after the 6th term, so the repeating group is 2 5 5 8 1 5, that is 6 numbers
\(100 \div 6\) gives quotient 16 and remainder 4 (\(16\times6=96\))
So 16 full groups end at the 96th term, and the 100th term is the 4th number of the group
The 4th number of 2 5 5 8 1 5 is 8