Question

The arithmetic sequence 1, 3, 5, 7, 9, . . . represents the set of odd natural numbers. What is the explicit rule for the sequence? ak = ____ +____ (k - 1)

Answer 1

Answer:

1st: 1+(k-1)2

2nd: 399

3rd: C

4th: 40,000

explanation:

just did it :)

Answer 2

Answer:

The explicit rule is Ak = 1 + 2 * (k - 1)

Step-by-step explanation:

1. Let's review the information provided to us for finding the explicit rule for the sequence.

The arithmetic sequence 1, 3, 5, 7, 9, . . . represents the set of odd natural numbers.

2. Let's find the solution:

Ak = 1 + 2 * (k - 1)

For k = 1 ⇒ Ak = 1 + 2 * (1 - 1) = 1 + 2 * 0 = 1 + 0 = 1

For k = 2 ⇒ Ak = 1 + 2 * (2 - 1) = 1 + 2 * 1 = 1 + 2 = 3

For k = 3 ⇒ Ak = 1 + 2 * (3 - 1) = 1 + 2 * 2 = 1 + 4 = 5

For k = 4 ⇒ Ak = 1 + 2 * (4 - 1) = 1 + 2 * 3 = 1 + 6 = 7

For k = 5 ⇒ Ak = 1 + 2 * (5 - 1) = 1 + 2 * 4 = 1 + 8 = 9

For k = 6 ⇒ Ak = 1 + 2 * (6 - 1) = 1 + 2 * 5 = 1 + 10 = 11

For k = 7 ⇒ Ak = 1 + 2 * (7 - 1) = 1 + 2 * 6 = 1 + 12 = 13