Calculate the Fourth Term in the Sequence 5n-5

Question

5n5 5n-5

What is the fourth term in the sequence above?

Video Solution

Solution Steps

00:00 Find member 4
00:04 Insert the corresponding member's position in the formula and solve
00:16 Always solve multiplication and division before addition and subtraction
00:22 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we need to determine the fourth term in the sequence given by the expression 5n55n - 5.

Step 1: Identify the term's position
The problem asks for the fourth term, which means we need to find a4a_4 where the term number n=4n = 4.

Step 2: Substitute the position into the sequence formula
Using the formula for the sequence, an=5n5a_n = 5n - 5, we substitute n=4n = 4 into the expression:

a4=5(4)5a_4 = 5(4) - 5

Step 3: Simplify the expression
Now, we calculate:

a4=205=15a_4 = 20 - 5 = 15

Therefore, the fourth term in the sequence is 1515.

Answer

15