A series is given, with one term missing. Choose the correct alternative from the given ones that will complete the series.
G2Z7, X3H7, I5V7, T7J9, ?
- AL10R12
- BK11S11
- CK11R12
- DL10R11
Solution & Step-by-step Explanation
Let's split each term into its constituent components and find their patterns:
1. First Letter: G, X, I, T, ...
* Look at alternating terms:
* G () I () [+2] Next should be K ()
* X () T () [-4]
* Thus, the first letter of the missing term is K.
2. First Number: 2, 3, 5, 7, ...
* This is the sequence of consecutive prime numbers.
* The next prime number after is 11.
3. Second Letter: Z, H, V, J, ...
* Look at alternating terms:
* Z () V () [-4] Next should be R ()
* H () J () [+2]
* Thus, the second letter of the missing term is R.
Combining these parts, the missing term must begin with K11R. Looking at the options, only K11R12 matches this pattern perfectly.
1. First Letter: G, X, I, T, ...
* Look at alternating terms:
* G () I () [+2] Next should be K ()
* X () T () [-4]
* Thus, the first letter of the missing term is K.
2. First Number: 2, 3, 5, 7, ...
* This is the sequence of consecutive prime numbers.
* The next prime number after is 11.
3. Second Letter: Z, H, V, J, ...
* Look at alternating terms:
* Z () V () [-4] Next should be R ()
* H () J () [+2]
* Thus, the second letter of the missing term is R.
Combining these parts, the missing term must begin with K11R. Looking at the options, only K11R12 matches this pattern perfectly.