78. The natural numbers are arranged in a triangular pattern. The first six rows are shown. 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21
Added by Andrew O.
Close
Step 1
We can see that the first number in each row is an increasing sequence of consecutive integers starting from 1. The difference between the first numbers of consecutive rows also increases by 1 each time: ``` Row 1: 1 Row 2: 1 + 1 = 2 Row 3: 2 + 2 = 4 Row 4: 4 + 3 Show more…
Show all steps
Your feedback will help us improve your experience
Jerelyn Nevil and 53 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Triangular Numbers A triangular number is a term of the sequence $$ u_{1}=1 \quad u_{n+1}=u_{n}+(n+1) $$ Write down the first seven triangular numbers.
Rukhmani J.
Look at the triangle of numbers. There are lots of patterns here! Find as many as you can. In particular, try to answer these questions: 1. What pattern describes the first number in each row? 2. How is each fraction related to the two fractions below it? 3. Can you write down the next two rows of the triangle?
Supreeta N.
One row of Pascal's triangle begins with the numbers 1 and 7. Finish writing the numbers of this row.
Matthew E.
Recommended Textbooks
Elementary and Intermediate Algebra
Algebra and Trigonometry
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD