Question

24. 98th term of the infinite series 1, 2, 3, 4, 1, 2, 3, 4,
1, 2, ........ is
(M.C.A., 2005)
(a) 1
(b) 2
(c) 3
(d) 4​

Answer 1

Answer:

Given Series : 1, 2, 3, 4, 1, 2, 3, 4, 1 ...

If we analyse the series, we can see that the numbers 1, 2, 3, 4 get repeated after 4 terms. Therefore the 98th term can be between 1, 2, 3, 4.

We know that 98 is not a multiple of 4. Therefore it wont have 4. On dividing 98 by 4, we get a remainder of 2. Hence we can say that 98th term is 4 - 2 = 2

Therefore the value of 98 is 2.

Another possible explanation is that, 100 is divisible by 4. Hence 100th term is 4 for sure. Therefore 99th term would 3 and 98th term would be 2.

Therefore the value of 98th term is 2.

Hence Option ( b ) is correct.

Answer 2

$\huge\sf\underline{♡Answer♡}$

Given Series: 1, 2, 3, 4, 1, 2, 3, 4, 1, 2.......

If we carefully look at the above series, we can see that the numbers are getting repeated after every 4th term.

So, the value of 98th term lies between 1 to 4.

As we know that, 98 is not a multiple of 4. cause if we divide 98 by 4, we got a remainder of 2.

Hence, we can say that,100th term is 4.

99th term will be 3, and 98th term is 2

100th term - 2 = 98th term = 4 - 2

Therefore, the value of 98th term is 2.

So, option (b) is correct! ✌