Praxis Dashboard

3n + 4

The expression for the total number of dots in the nth term of the sequence is 3n + 4, which reflects the linear pattern observed in the arithmetic sequence.

A) 10n - 3

This option suggests a much steeper increase in the sequence than what is presented. The sequence does not grow at a rate of 10 per term, indicating that this expression does not fit the pattern of the arithmetic sequence.

B) 7n + 3

While this option contains a linear term, the coefficient of n is incorrect for the sequence. The increase in the sequence is not consistent with a growth of 7 per term, making this expression unsuitable.

C) 3n + 4

This expression accurately represents the nth term of the arithmetic sequence. The coefficient of n, 3, indicates the common difference between terms, and the constant, 4, aligns with the initial value of the sequence.

D) n + 6

This option underestimates the common difference of the sequence. With only a single unit increase per term, it does not correspond to the pattern observed, where the increase is consistently greater.

Conclusion

The expression 3n + 4 is definitively the correct representation of the nth term in the arithmetic sequence, as it correctly reflects both the common difference and the initial value. All other options misrepresent the growth rate or starting point of the sequence, thus failing to provide an accurate formula.