Calculate the 10th to 12th Terms of the Sequence: Applying 5n - 3

For the series $5n-3$

What are the 10th up to the 12th elements?

Video Solution

Solution Steps

00:00 Find members 10,11,12

00:04 Let's substitute the desired member's position in the sequence formula and solve

00:24 Always solve multiplication and division before addition and subtraction

00:29 This is the 10th member in the sequence

00:32 We'll use the same method to find the next members

00:36 Let's substitute the desired member's position in the sequence formula and solve

00:50 Always solve multiplication and division before addition and subtraction

01:00 This is the 11th member in the sequence

01:07 Let's substitute the desired member's position in the sequence formula and solve

01:17 Always solve multiplication and division before addition and subtraction

01:23 And this is the solution to the question

Step-by-Step Solution

To solve this problem, we'll evaluate each term using the sequence formula:

Step 1: Calculate the 10th term.
Substitute $n = 10$ into the formula $a_n = 5n - 3$ :
$a_{10} = 5(10) - 3 = 50 - 3 = 47$ .
Step 2: Calculate the 11th term.
Substitute $n = 11$ into the formula $a_n = 5n - 3$ :
$a_{11} = 5(11) - 3 = 55 - 3 = 52$ .
Step 3: Calculate the 12th term.
Substitute $n = 12$ into the formula $a_n = 5n - 3$ :
$a_{12} = 5(12) - 3 = 60 - 3 = 57$ .

Therefore, the 10th, 11th, and 12th elements of the sequence are $47, 52,$ and $57$ respectively.