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Find the
general rule
10,15,20


Sagot :

To find the general rule for the sequence 10, 15, 20:

1. Identify the pattern:

  - The difference between terms is constant at 5.

2. General rule for an arithmetic sequence:

  - The formula is: an = a1 + (n - 1) * d

    Where:

    - a_n = the nth term

    - a_1 = the first term

    - d = common difference

    - n = position of the term

3. Apply to the given sequence:

  - First term (a_1) = 10

  - Common difference (d) = 5

  General rule:

  an = 10 + (n - 1) * 5

  - Simplify:

    an = 5n + 5