Give the 24th Term of the Sequence 3, 8, 13, 18, . . .

In an arithmetic sequence, the difference between any two consecutive terms is the same throughout the sequence.

Answer:  The 24th Term of the Sequence 3, 8, 13, 18, . . . is 118.

Let's find the nth term of the sequence.

Explanation:

The equation for the nth term can be found using the formula \(a_{n}\) = [a + (n - 1) d].

In the sequence 3, 8, 13, 18, . . .

Given, \(a_{1}\) = 3

d = \(a_{2}\) - \(a_{1}\) = 8 - 3 = 5

⇒ \(a_{24}\) = [a + (n - 1) d] 

⇒ \(a_{24}\) = [3 + (24 - 1) (5)] 

⇒ \(a_{24}\) = [3 + (23)(5)]

⇒ \(a_{24}\) = [3 + (115)]

⇒ \(a_{24}\) = 118

We can use an online arithmetic sequence calculator to calculate the nth term.

Thus, the 24th term of the sequence 3, 8, 13, 18, . . . is 118.