If the series 4, 5, 8, 13, 14, 17, 22, ....is continued in the same pattern,which one of the following is not aterm of this series ?(A) 31 (B) 32(C) 33 (D) 35

To find out which one of the given options is not a term of the series, let's analyze the pattern of the series.

Looking at the series, we can observe that it alternates between adding 1 and adding 3 to the previous term.

Starting with the first term, 4, we add 1 to get the second term, 5. Then, we add 3 to get the third term, 8. Continuing this pattern, we add 1 to get 9, add 3 to get 12, add 1 to get 13, add 3 to get 16, and so on.

Now, let's check each of the given options to see if they fit the pattern:

(A) 31: To get from the previous term, 28, to 31, we would need to add 3. So, 31 is a term of the series.

(B) 32: To get from the previous term, 29, to 32, we would need to add 3. So, 32 is a term of the series.

(C) 33: To get from the previous term, 30, to 33, we would need to add 3. So, 33 is a term of the series.

(D) 35: To get from the previous term, 34, to 35, we would need to add 1. So, 35 is a term of the series.

Therefore, the answer is none of the given options (E) as all of them are terms of the series.