Question

Suppose an arithmetic sequence is defined by this explicit formula. an = 20 + (n - 1)4 1) Determine a25​

Answer 1

a₂₅ = 116

Step-by-step explanation:

given the explicit formula

`a_(n)` = 20 + (n - 1)4

n is the term number , then

a₂₅ = 20 + 24 × 4 = 20 + 96 = 116

Answer 2

To find the 25th term of the arithmetic sequence an = 20 + (n - 1)4, we substitute n with 25 and calculate a25 = 20 + (25 - 1) × 4, which equals 116.

Step-by-step explanation:

To determine a25, the 25th term of the arithmetic sequence, we will use the explicit formula an = 20 + (n - 1)4. Given that a1 = 20, and the common difference (d) is 4, we can substitute n with 25 to find the value of a25.

Now, let's calculate it:

a25 = 20 + (25 - 1) × 4

a25 = 20 + 24 × 4

a25 = 20 + 96

a25 = 116

Therefore, the 25th term of the sequence is 116.