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What letter completes the pattern H K Q C G O E J?

Sagot :

Answer:

1. Alphabet Positions:

[tex] - \(H\) \: is \: the \: 8thletter.

- \(K\) \: is \: the \: 11th \: letter.

- \(Q\) \: is \: the \: 17th \: letter.

- \(C\) \: is \: the \: 3rd \: letter.

- \(G\) \: is \: the \: 7th \: letter.

- \(O\) \: is \: the \: 15th \: letter.

- \(E\) \: is \: the \: 5th \: letter.

- \(J\) \: is \: the \: 10th \: letter.[/tex]

The sequence of their positions is: \(8, 11, 17, 3, 7, 15, 5, 10\).

2. Differences Between Positions:

[tex]( K - H = 11 - 8 = 3 \)[/tex]

[tex]\( Q - K = 17 - 11 = 6 \)[/tex]

[tex]( C - Q = 3 - 17 = -14 \)[/tex]

[tex](or \: equivalently, \: \(26 - 14 = 12\))[/tex]

[tex]( G - C = 7 - 3 = 4 \)[/tex]

[tex]( O - G = 15 - 7 = 8 \)[/tex]

[tex]( E - O = 5 - 15 = -10 \)[/tex]

[tex](or \: equivalently, \: \(26 - 10 = 16\))[/tex]

[tex]( J - E = 10 - 5 = 5 \)[/tex]

So the difference sequence is:(3, 6, 12, 4, 8, 16, 5).

3. Identifying the Pattern:

Upon examining the differences:

- There is a pattern where alternating differences multiply by 2:

[tex] (3 \times 2 = 6\)[/tex]

[tex]\(6 \times 2 = 12\)[/tex]

[tex](4 \times 2 = 8\)[/tex]

[tex]\(8 \times 2 = 16\)[/tex]

4. Possible Continuation:

If we consider the differences might have an arbitrary rule, the position change from(J (10) might follow part of a continued sequence.

Since the immediate previous difference was (5), let us hypothetically increment by another obvious pattern, but simplifying, we may use the average of a simple consistent rule, say ( +8\):

[tex]( 10 + 8 = 18)[/tex]

5. Position Calculation:

The 18th letter in the alphabet is \(R\).

Therefore, if the intended pattern continues, the next letter after ( J ) would be (R).