×

# The number of parts in which n number of lines can divide a plane into !

You see friends , my friend Aditya is a problem writer at JOMO .......... one of the questions this month was like -"What is the maximum number of regions in which 7 lines divide a plane into?" The way i got my answer was strange ..........please friends let me know was i correct or i just fumbled ...........

1 line can divide into maximum 2 parts 2 lines can divide into maximum 4 parts 3 lines can divide into maximum 7 parts 4 lines can divide into maximum 11 parts 5 lines can divide into maximum 16 parts . . . 7 lines can divide into 29 parts ...........

one can say I got it by intuition but is there a proper approach ?

Note by Apoorv Padghan
3 years, 5 months ago

MarkdownAppears as
*italics* or _italics_ italics
**bold** or __bold__ bold
- bulleted- list
• bulleted
• list
1. numbered2. list
1. numbered
2. list
Note: you must add a full line of space before and after lists for them to show up correctly
paragraph 1paragraph 2

paragraph 1

paragraph 2

[example link](https://brilliant.org)example link
> This is a quote
This is a quote
    # I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
# I indented these lines
# 4 spaces, and now they show
# up as a code block.

print "hello world"
MathAppears as
Remember to wrap math in $$...$$ or $...$ to ensure proper formatting.
2 \times 3 $$2 \times 3$$
2^{34} $$2^{34}$$
a_{i-1} $$a_{i-1}$$
\frac{2}{3} $$\frac{2}{3}$$
\sqrt{2} $$\sqrt{2}$$
\sum_{i=1}^3 $$\sum_{i=1}^3$$
\sin \theta $$\sin \theta$$
\boxed{123} $$\boxed{123}$$