Calculate Values: Finding Terms 10-12 in the Expression 5n-3

For the series $5n-3$

Complete the equation with the numeric element 10 up to 12.

Video Solution

Solution Steps

00:00 Find members 10,11,12 of the series

00:04 We'll substitute the appropriate member position in the series formula and solve

00:11 Substitute N = 10 in the series formula and solve to find the member

00:16 Always solve multiplication and division before addition and subtraction

00:27 This is the 10th member in the series

00:30 We'll use the same method to find members 11 and 12

00:34 Substitute N = 11 in the series formula and solve to find the member

00:44 This is the 11th member

00:50 Substitute N = 12 in the series formula and solve to find the member

01:08 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we need to follow these steps:

Step 1: Substitute $n = 10$ into the sequence formula to find the term.
Using the formula $a_n = 5n - 3$ , replace $n$ with 10:
$a_{10} = 5 \times 10 - 3 = 50 - 3 = 47$ .
Step 2: Substitute $n = 11$ into the sequence formula to find the term.
Using the formula $a_n = 5n - 3$ , replace $n$ with 11:
$a_{11} = 5 \times 11 - 3 = 55 - 3 = 52$ .
Step 3: Substitute $n = 12$ into the sequence formula to find the term.
Using the formula $a_n = 5n - 3$ , replace $n$ with 12:
$a_{12} = 5 \times 12 - 3 = 60 - 3 = 57$ .

Therefore, the sequence terms when $n = 10, 11, 12$ are: 57, 52, 47.