Find the dissimilar term in the given sequence: ACA, BFB, CJC, DLD, EOE
- ACJC
- BBFB
- CEOE
- DDLD
Solution & Step-by-step Explanation
Let's analyze the pattern of each three-letter term:
The first and third letters are identical and follow the sequence of consecutive English alphabets: .
The middle letter is determined by adding an increasing number to the position of the outer letters:
* ACA: , Middle letter
* BFB: , Middle letter
* CJC: , Middle letter
* DLD: , Middle letter
* EOE: , Middle letter
Let's observe the differences added to the first letter to get the middle letter: . This sequence does not have a consistent progression.
Alternatively, look at the position of the middle letters directly:
* C
* F
* J
* L
* O
The gaps between the middle letters are:
* From C to F:
* From F to J:
* From J to L:
* From L to O:
If the middle letters followed a uniform arithmetic progression with a common difference of (), the middle letters would be C, F, I, L, O.
The third term would be CIC instead of CJC. Thus, CJC is the dissimilar term.
The first and third letters are identical and follow the sequence of consecutive English alphabets: .
The middle letter is determined by adding an increasing number to the position of the outer letters:
* ACA: , Middle letter
* BFB: , Middle letter
* CJC: , Middle letter
* DLD: , Middle letter
* EOE: , Middle letter
Let's observe the differences added to the first letter to get the middle letter: . This sequence does not have a consistent progression.
Alternatively, look at the position of the middle letters directly:
* C
* F
* J
* L
* O
The gaps between the middle letters are:
* From C to F:
* From F to J:
* From J to L:
* From L to O:
If the middle letters followed a uniform arithmetic progression with a common difference of (), the middle letters would be C, F, I, L, O.
The third term would be CIC instead of CJC. Thus, CJC is the dissimilar term.