Question

BRAINLEST! please help

Answer 1

Option D: A(n) = a + (n – 1) d

Solution:

To identify the formula for finding the nth term of an arithmetic sequence.

Let a be the first term.

d be the common difference of the each term.

n be the term of the number.

A(n) be the nth term of the arithmetic sequence.

Arithmetic formula:

A(n) = a + (n – 1) d

Example: 1, 4, 7, 10, 13, 16, 19, ...

This is a arithmetic sequence.

a = 1, d = 4 – 1 = 3.

To find the 5th term:

Substitute this in the above formula, we get

A(n) = a + (n – 1) d

A(5) = 1 + (5 – 1) 3

       = 1 + 4(3)

       = 1 + 12

A(5) = 13

In the given sequence 5th term is 13.

Hence Option D is the correct answer.

A(n) = a + (n – 1) d