Question

1+7+8+15+23+...+160

1+4+5+9+14+...+60+97

78.31+78.24+78.17+22.72

Answer 1

a) 1 + 7 + 8 + 15 + 23 + … + 160

= 1 + 7 + 8 + 15 + 23 + 38 + 61 + 99 + 160

= 8 + 8 + 38 + 38 + 160 + 160

= 2 . ( 8 + 38 + 160 )

= 2 . 206

= 412

b)1 + 4 + 5 + 9 + 14 + … + 60 + 97

= 1 + 4 + 5 + 9 + 14 + 23 + 37 + 60 + 97

= 5 + 5 + 23 + 23 + 97 + 97

= 2 . ( 5 + 23 + 97 )

= 2 . 125 

= 250

c)78 . 31 + 78 . 24 + 78 . 17 + 22 . 72

= 78 . ( 31 + 24 + 17 ) + 22 . 72

= 78 . 72 + 22 . 72

= 72 . (78 + 22)

= 72 . 100

= 7200