Question

Determine the value of the indicated term.

a1 = -4, d=4

Determine the 15th term

Answer 1

The 15th term = 52

Explanation:

a₁ = -4

d = 4

n = 15

a₁₅ = The value of the 15th term, (this is what we have to find out)

We know that formula of an arithmetic series is:

aₙ = a₁ + d(n - 1)

Now we can substitute the given values in:

a₁₅ = -4 + 4(15 - 1)

a₁₅ = -4 + 4(14)

a₁₅ = -4 + 56

a₁₅ = 52

So the 15th term = 52

Hope this helps!

Answer 2

52

Explanation:

The general arithmetic sequence formula for this case is

a(n) = -4 + d(n - 1).

Thus, a(15) = -4 + 4(14) = 52