Question

State the explicit form of the pattern: 4, 9, 14, 19, ... A) an = n + 5 B) an = 2n - 5 C) an = 2n - 1 D) an = 5n - 1

Answer 1

Answer:

(D) an = 5n - 1

Step-by-step explanation:

The sequence is generated by substituting a value for n.

The first term of the sequence is 4

So when n = 1

The formula is an = 5n - 1

a1 = 5(1) - 1

a1 = 5 - 1

a1 = 4

The second term of the sequence is 9.

So n = 2

a2 = 5(2) - 1

a2 = 10 - 1

a2 = 9

To find the next value you just have to substitute the next value for n.