Identifying the Pattern in the Alphabet Sequence
The given sequence is B, D, F, H... We need to find the 6th letter in this sequence.
First, let's identify the pattern by looking at the positions of these letters in the English alphabet:
- B is the 2nd letter.
- D is the 4th letter.
- F is the 6th letter.
- H is the 8th letter.
The sequence of positions is 2, 4, 6, 8... This is an arithmetic progression where the first term ($a_1$) is 2 and the common difference ($d$) is 2 (since each subsequent letter's position increases by 2).
Calculating the 6th Term
We can use the formula for the $n^{th}$ term of an arithmetic progression:
$ a_n = a_1 + (n-1)d $
Here, we want to find the 6th term ($n=6$), the first term $a_1 = 2$, and the common difference $d = 2$.
Substitute the values into the formula:
$ a_6 = 2 + (6-1) \times 2 $
$ a_6 = 2 + (5) \times 2 $
$ a_6 = 2 + 10 $
$ a_6 = 12 $
Determining the 6th Letter
The calculated position for the 6th letter in the sequence is 12.
The 12th letter of the English alphabet is L.
Therefore, the 6th letter in the sequence B, D, F, H... is L.
Similar Questions
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Important Questions from Alphabet Series
A series is given with some letters missing. Choose the correct alternative from the given ones that will complete the series:
BR __ __ NB __ O __ NBA series is given with some letters missing. Choose the set of letters which when sequentially placed shall complete it .
a __ __ dba __ __ bcad __ __ da __ __ cdIn the following letter series, some of the letters are missing which are given in that order as one of the alternatives below It. Choose the correct alternative
_ a _ b _ abaa _ bab _ abbSelect the combination of letters that when sequentially placed in the blanks of the given series will complete the series.
Q _ P _ M _ A _ T _ Q A _ T M
In the series _b_a_ba_b_abab_aab;
fill in the six blanks ( _ ) using one of the following given four choices such that the series follows a specific order.
