Sequences / Skips up to a million: Jumps of 100

To solve the problem, we identify the sequence pattern:

• Determine the difference between the given terms: $653,250 - 653,150 = 100$.
• Since the difference between consecutive terms is 100, this indicates the rule of the sequence.
• To find the next terms, continue adding 100 to the last known term:
• Next term after 653,250: $653,250 + 100 = 653,350$.
• Next term after 653,350: $653,350 + 100 = 653,450$.
• Next term after 653,450: $653,450 + 100 = 653,550$.

Thus, the completed sequence is $653,150, 653,250, 653,350, 653,450, 653,550$.

Therefore, the next three numbers in the sequence are $653{,}350, 653{,}450, 653{,}550$.

To find the pattern in the sequence $900,900, 900,800, \ldots$, we need to determine the difference between successive terms.

Step 1: Calculate the difference between the first two terms:

$900,800 - 900,900 = -100$

Step 2: The sequence decreases by 100. Using this consistent decrease, we can determine the next terms:

• From $900,800$, subtract 100: $900,800 - 100 = 900,700$
• From $900,700$, subtract 100: $900,700 - 100 = 900,600$
• From $900,600$, subtract 100: $900,600 - 100 = 900,500$

Therefore, the completed sequence is $900,700, 900,600, 900,500$.