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, ___ , ___ , ___ .

Question

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, ___ , ___ , ___ .

Filo · Accepted Answer

(i) 40,35,30,25,20Here the series is decreased with difference =5 between each number.(ii) 0,2,4,6,8,10Here the Series is increased with increment =2(iii) 84,77,70,63,56,49Here the Series is decreased with difference =7(iv) 4.4,5.5,6.6,7.7,8.8,9.9Here the Series is increased with increment =1.1(v) 1,3,6,10,15,21,28Here 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) 1,1,2,3,5,8,13,21,34,55,89Here 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) 1,8,27,64,125,216,343This Series is the Series of Cubes as 13,23,33,43,53,63,73

Question Text	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) $1, 8, 27, 64$ , ___ , ___ , ___ .
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