sequence patterns
2,8,16,32,64...
squence pattern is multiplying by 2
4,8,16,32...
an= 4+(n-1)(8)
2,8,16,32...
an= 2(2^n-1)
A person starts a job with a salary of $30,000 in the first year. Each year the salary increases by a amount of $2,000. What is the salary in the 10th year?
an= 30000+(n-1)(2000)
$48000 is the salary in the 10th year
100,200,300,400...
adding by 100
7,9,11,13,15...
an= 7+(n-1)(2)
12,98,768,6144...
an= 12(8^n-1)
A woman saves $100 in the first month, $150 in the second, $200 in the third, and so on. What are her total savings after 12 months?
$650
0.12,0.24,0.48,0.96...
multiplying by 2
150,187,224,261...
an= 150+(n-1)(37)
45,225,1125,5625...
an=45(5^n-1)
A machine purchased for $10,000 depreciates by $800 every year. What is its value after 5 years?
6800$
74,444,2664,15984...
multiplying by 6
552,1019,1486,1953...
an= 552+(n-1)(467)
0.17,1.02,6.12,36.72...
an= 0.17(6^n-1)
A town has a population of 10,000 in 2020. The population increases by 5% every year. What will be the population in 2025?
12,763 people.
2,4,16,256,65536...
power of 2
628,664,700,736...
an= 628+(n-1)(36)
31,27.9,25.11,22.599...
an=31(0.9^n-1)
A radioactive substance has an initial mass of 500 grams. It loses half its mass every 3 years. What is the mass remaining after 9 years?
62.5 grams