Lucky Number M

    by shifty_coder

    19 Comments

    1. Reddit_Bot_Beep_Boop on

      M=1000 as a Roman Numeral. Fun fact, in the year 2000 M&M had an ad campaign saying that they were the official candy of the new millennium.

    2. RD_Life_Enthusiast on

      You are capable, competent, creative…Prove it.

      SOLVE FOR M.

      *Okeedokee:*

      If we separate them into two sequences:

      Sequence 1 (odd positions): 3, 24, 30 Sequence 2 (even positions): M, 25, 31

      Let’s analyze Sequence 2 first, and its known terms: M, 25, 31

      The common difference between 25 and 31 is $31 – 25 = 6$. If this is an arithmetic sequence, then $M + 6 = 25$. Solving for M: $M = 25 – 6 = 19$.

      Now let’s check if Sequence 1 follows an arithmetic progression with a similar pattern, or a different one. 3, 24, 30

      The difference between 24 and 3 is $24 – 3 = 21$. The difference between 30 and 24 is $30 – 24 = 6$. This sequence does not have a constant common difference, so it’s not a simple arithmetic sequence.

      However, if we assume the pattern is that the differences alternate, or if the second sequence is the primary one we are looking at to solve for M, then M=19.

      Let’s re-examine Sequence 1 if we apply a common difference of 6 (like in Sequence 2). If the common difference was 6: 3, $3+6=9$, $9+6=15$ … (This doesn’t match 24, 30)

      Let’s reconsider the possibility of a different relationship.

      What if the pattern is: $N_1$, $N_1+d_1$, $N_2$, $N_2+d_2$, $N_3$, $N_3+d_3$

      Let’s look at the given numbers again: 3, M, 24, 25, 30, 31

      The pairs (24, 25) and (30, 31) are consecutive integers. This suggests that M is also related to 3 in a similar way, or the pattern is: Term $n$ $N_1 = 3$ $N_2 = M$ $N_3 = 24$ $N_4 = 25 = N_3 + 1$ $N_5 = 30$ $N_6 = 31 = N_5 + 1$

      This means that the terms in the even positions are one more than the terms in the preceding odd positions (if the pattern holds for the M and 3 pair). If $N_2 = N_1 + 1$, then $M = 3 + 1 = 4$.

      *Fuck. Now my orange chicken is cold.*

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