Question

Find the 50th term of 12, 19, 26, 33,...

Answer 1

Answer:

355

Step-by-step explanation:

We have the sequence:

12, 19, 26, 33...

And we want to find the 50th term.

First, notice that this is an arithmetic sequence. This is because each subsequent term is 7 more than the previous term. So, this is increasing linearly.

Therefore, we can write an explicit formula for our sequence. The standard form for the explicit formula for an arithmetic sequence is:

$x_n=a+d(n-1)$

Where a is the initial term, d is the common difference, and n is the nth term.

We can see from our sequence that our initial term a is 12.

We also know that d is +7 because each term is 7 more than the previous term.

So, substitute 12 for a and 7 for d. This yields:

$x_n=12+7(n-1)$

To find the 50th term, let's substitute 50 for n:

$x_{50}=12+7(50-1)$

Evaluate. Subtract within the parentheses:

$x_{50}=12+7(49)$

Multiply:

$x_{50}=12+343$

Add:

$x_{50}=355$

So, the 50th term is 355.

And we're done!

Answer 2

Answer:

The pattern goes by adding 7 to the previous number to get the result.

12+7 = 19

19+7 = 26

26+7 = 33

The  

Use the formula  $a_{n} = a_{1}+d(n-1)$

The sequence = 7n-2

Therefore the 50th term

= 7(50)-2

= 350-2

= 348