Question

C(n)=-6+5(n-1) find the eight term in the sequence

Answer 1

To find the eighth term in the arithmetic sequence defined by c(n) = -6 + 5(n - 1), substitute n with 8 to get c(8) = 29, which is the eighth term.

Step-by-step explanation:

The sequence defined by the function c(n) = -6 + 5(n - 1) can be used to find the terms of the sequence. To find the eighth term, we substitute n with 8 in the function:

c(8) = -6 + 5(8 - 1)

c(8) = -6 + 5(7)

c(8) = -6 + 35

Therefore, the eighth term in the sequence is 29.

This arithmetic sequence progresses by adding the common difference of 5 to each previous term, which is determined by the coefficient in the formula. By using a basic substitution of values into the formula provided, we can determine any term's value in the sequence.