Question

PLZZZZ HELPPP MEEE!!!

1. Which explicit formula represents an arithmetic sequence with a first term of 19 and a common difference of 4?

Answer 1

The explicit formula for an arithmetic sequence with a first term of 19 and a common difference of 4 is a_n = 19 + (n - 1)4.

Step-by-step explanation:

The explicit formula for an arithmetic sequence is given by:
an = a1 + (n - 1)d

Where:
an is the nth term
a1 is the first term
n is the position of the term
d is the common difference

For this particular question, the first term (a1) is 19 and the common difference (d) is 4. Therefore, the explicit formula for the arithmetic sequence is:
an = 19 + (n - 1)4

Answer 2

Option (2)

Step-by-step explanation:

If the first term of an arithmetic sequence is 'a' and common difference as 'd',

Explicit formula representing the nth term of the sequence is given by,

`a_n=a+(n-1)d`

Here, n = number of term

If first term 'a' = 19 and common difference 'd' = 4

Explicit formula for the sequence will be,

`a_n=19+(n-1)4`

Therefore, Option (2) will be the correct option.