Class 11

Math

Co-ordinate Geometry

Straight Lines

Complete the following patterns:

(i) $40,35,30$, __, __, __

(ii) $0,2,4$, ___ , ___ , ___ .

(iii) $84,77,70$, ___ , ___ , ___ .

(iv) $4.4,5.5,6.6$, ___ , ___ , ___ .

(v) $1,3,6,10$, ___ , ___ , ___ .

(vi) $1,1,2,3,5,8,13,21$, ___ , ___ , ___ . (This sequence is called FIBONACCI SEQUENCE)

(vii) $1,8,27,64$, ___ , ___ , ___ .

Here the series is decreased with difference $=5$ between each number.

$(ii)$ $0,2,4,6,8,10$

Here the Series is increased with increment $=2$

$(iii)$ $84,77,70,63,56,49$

Here the Series is decreased with difference $=7$

$(iv)$ $4.4,5.5,6.6,7.7,8.8,9.9$

Here the Series is increased with increment $=1.1$

$(v)$ $1,3,6,10,15,21,28$

Here the Series is increased with increasing increment i.e. $3−1=2,6−=3,10−6=4,15−10=5,21−15=6,28−21=7$

$(vi)$ $1,1,2,3,5,8,13,21,34,55,89$

Here first 2 numbers add with each other to form next number

Similarly, second and Third number add together and result is the fourth Number and so on.

$(vii)$ $1,8,27,64,125,216,343$

This Series is the Series of Cubes as $1_{3},2_{3},3_{3},4_{3},5_{3},6_{3},7_{3}$