High School

Design an nth-term sequence that corresponds to [tex]15n + 10[/tex].

A. 5, 25, 50, 75, ...
B. 10, 25, 40, 55, ...
C. 10, 20, 30, 40, ...
D. 15, 30, 45, 60, ...

Answer :

Final answer:

The sequence that aligns with the nth term equation 15n + 10 is 10, 25, 40, 55, ... as when substituting values of n into the equation, the resultant matches with this sequence.

Explanation:

To find the sequence that corresponds to 15n + 10, we would substitute values of n into the equation. Let's consider the given options:

  • For option a) 5, 25, 50, 75, ..., if n=1, we get 15*1+10=25, which does not match the first term of the sequence.
  • For option b) 10, 25, 40, 55, ..., if n=1, we get 15*1+10=25, which matches with the sequence. Similarly, you can check with other values of n, to see it aligns with the sequence.
  • Options c) and d) are also incorrect as they do not align with the equation when we substitute values of n.

Hence, the sequence that corresponds to 15n + 10 is option b) 10, 25, 40, 55, ...

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