College

We appreciate your visit to tex begin array r 73 times 137 10 001 146 times 137 20 002 219 times 137 30 003 292 times 137 40 004 end. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

[tex]
\begin{array}{r}
73 \times 137 = 10{,}001 \\
146 \times 137 = 20{,}002 \\
219 \times 137 = 30{,}003 \\
292 \times 137 = 40{,}004 \\
\end{array}
[/tex]

The next line in the sequence of computations is:

[tex]
\boxed{365} \times 137 = \boxed{50{,}005}
[/tex]

Answer :

To determine the next line in the sequence of computations, let's observe the pattern in the given multiplications:

1. [tex]\(73 \times 137 = 10,001\)[/tex]
2. [tex]\(146 \times 137 = 20,002\)[/tex]
3. [tex]\(219 \times 137 = 30,003\)[/tex]
4. [tex]\(292 \times 137 = 40,004\)[/tex]

### Step-by-Step Solution:

1. Identify the Pattern in the Multipliers:
- The initial numbers being multiplied by 137 are 73, 146, 219, and 292.
- Notice the difference between consecutive numbers: [tex]\(146 - 73 = 73\)[/tex], [tex]\(219 - 146 = 73\)[/tex], and [tex]\(292 - 219 = 73\)[/tex].
- This pattern shows that each number is increased by 73 from the previous number.

2. Find the Next Multiplier:
- The last given number is 292.
- Adding 73 to this number to find the next in the sequence: [tex]\(292 + 73 = 365\)[/tex].

3. Calculate the Corresponding Product:
- Now, we need to calculate the product of this new number (365) with 137.
- From the previously determined pattern in the products (10,001, 20,002, 30,003, 40,004), it is apparent that the product increases by 10,001 each time.
- Therefore, adding 10,001 to the last product (40,004) gives us: [tex]\(40,004 + 10,001 = 50,005\)[/tex].

4. Complete the Line:
- So, the new calculation will be: [tex]\(365 \times 137 = 50,005\)[/tex].

Thus, the next line in the sequence of computations is:

[tex]\[ 365 \times 137 = 50,005 \][/tex]

Thanks for taking the time to read tex begin array r 73 times 137 10 001 146 times 137 20 002 219 times 137 30 003 292 times 137 40 004 end. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada