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 ?

#Geometry

Easy Math Editor

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Math	Appears 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}`	$\boxed{123}$