Find the missing term in the following series: 2A11, 4D13, 12G17, 48J23, _______
240M31
To find the missing term in the series 2A11, 4D13, 12G17, 48J23, we need to analyze the pattern for each component of the terms: the first number, the letter, and the second number.
Let's look at the sequence of the first numbers: 2, 4, 12, 48, ...
The pattern for the first number is multiplication by a factor that increases by 1 each time (2, 3, 4, ...). So, the next multiplication factor should be 5.
The next first number is $48 \times 5 = 240$.
Now let's look at the sequence of letters: A, D, G, J, ...
We can determine the position of each letter in the English alphabet:
Let's find the difference in their positions:
The pattern for the letter is adding 3 to the position of the previous letter in the alphabet. The last letter is J (10th position).
The next letter will be at position $10 + 3 = 13$. The 13th letter of the alphabet is M.
Finally, let's look at the sequence of the second numbers: 11, 13, 17, 23, ...
Let's find the difference between consecutive terms:
The pattern for the second number is adding a value that increases by 2 each time (2, 4, 6, ...). So, the next value to add should be 8.
The next second number is $23 + 8 = 31$.
Combining the results for each component:
The missing term in the series is 240M31.
A series is given, with one missing term. Choose the correct option from the given ones that will complete the sequence.
T9, V13, X17, Z21, B25, ?
Select the number from among the given options that can replace the question mark (?) in the following series.
6Q9, ____, 20Y23, 27C30
Find the next term.
D25G, H81I, L169P, P289S, ?
Find out the next term.
JL22, OQ32, TV42, ?
Which option will fill in the blanks and complete the series correctly?
KSH22, MVI26, PZK31, ______