Question

2 la puterea 1996+2 la putere 1995+5•2 la putere 1994
Si
108+108•2+108•3+....+108•24=

Answer 1

2¹⁹⁹⁶ + 2¹⁹⁹⁵ + 5 x 2¹⁹⁹⁴ =

= 2¹⁹⁹⁴ x ( 2² + 2 + 5 x 1 ) =

= 2¹⁹⁹⁴ x ( 4 + 2 + 5 ) =

= 2¹⁹⁹⁴ x 11

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108 + 108 x 2 + 108 x 3 + ....... + 108 x 24 = 32 400

= 108 x ( 1 + 2 + 3 + ........ + 24 ) =

= 108 x 24 x ( 1 + 24 ) : 2 =

= 108 x 12 x 25 =

= 32 400