Question

Using the explicit formula, find the 388th term of the sequence where f(1) = -4, and the common difference (d) is -7.

A) f(388) = -2713
B) f(388) - 2713
C) f(388) - (-2709)
D) f(388) = 2709

Answer 1

To find the 388th term using the explicit formula, we need to use the formula f(n) = f(1) + (n-1)d, where f(1) is the first term, n is the term number, and d is the common difference. In this case, f(1) = -4 and d = -7. Substituting n = 388 into the formula, we find that f(388) = -4 -2709 = -2713.

Step-by-step explanation:

To find the 388th term using the explicit formula, we need to use the formula:

f(n) = f(1) + (n-1)d

where f(1) is the first term, n is the term number, and d is the common difference.

In this case, f(1) = -4 and d = -7, so the formula becomes:

f(n) = -4 + (n-1)(-7)

To find f(388), substitute n = 388 into the formula:

f(388) = -4 + (388-1)(-7)

Now, simplify the expression:

f(388) = -4 + 387*(-7)

Finally, calculate the value:

f(388) = -4 -2709 = -2713