Math projectMath project

Geometric sequenceGeometric sequence

AFTER 1 YEARAFTER 1 YEAR

T= 600.000 X (1+12/100)T= 600.000 X (1+12/100)1 1 = 72.000$ = 72.000$

After 10 yearsAfter 10 years

Un= U1.r Un= U1.r n-1n-1

Un = 72000 x 0.015 Un = 72000 x 0.015 10-110-1 =2.767921875x10 =2.767921875x10-12-12

After 20 yearsAfter 20 years

Un= U1.r Un= U1.r n-1n-1

Un = 72000 x 0.015 Un = 72000 x 0.015 20-120-1 = 1.59612323 x 10 = 1.59612323 x 10-30-30

Sn= U1 ( rSn= U1 ( rnn – 1)/r-1= U1 (1– r – 1)/r-1= U1 (1– r nn ) / 1 -- r ) / 1 -- r

Arithmetic sequenceArithmetic sequence

Special program for help game addict people to Special program for help game addict people to stop playing. Because of the big amount of money stop playing. Because of the big amount of money loose in poker.loose in poker.

Suppose that you play poker in the casino on June Suppose that you play poker in the casino on June 1 and lose $1,000.  Tomorrow you bet and lose $15 1 and lose $1,000.  Tomorrow you bet and lose $15 less.  Each day you lose $15 less that your previous less.  Each day you lose $15 less that your previous loss.  What will your total losses be for the 30 days loss.  What will your total losses be for the 30 days of June?of June?

                aa11 = 1000         d = -15        a = 1000         d = -15        a3030 = 1000 - 15(30 = 1000 - 15(30 - 1) = 565        S- 1) = 565        S3030 = 30/2 (1000 + 565) = 23,475 = 30/2 (1000 + 565) = 23,475You will lose a total of $23,475 during June.You will lose a total of $23,475 during June.