Do you have to plug in numbers to make a sequence that is greater than 2?

GAMEMASTERX40 Apr 17, 2019

#1**+3 **

2 or greater

a. The formula is a_{n} = a_{n-1} - 3....so a_{2} = a_{2-1} - 3 = a_{1} - 3

Notice GM that we are just subtacting 3 from the previous term to get the next....and the first term is 7...so

7, 4, 1 , -2

This is arithmetic

b. The formula is b_{n} = 2b_{n-1} - 1 .....so b_{2} = 2b_{(2-1)} - 1 = 2b_{1} - 1

We are taking twice the previous term and subtracting 1 to get the next term and the first term is 2

So we have

2, 3, 5, 9

This is neither

c. The formula is c_{n} = 10c_{n-1} ... so.....c_{2} = 10 c_{(2 - 1)} = 10c_{1}

So....we are just taking 10 times the previous term to h=get the next

So 3, 30, 300, 3000

geometric

d. A little tricky.....

We have

d_{n} = n * d_{n-1} ..... first term is 1

Second term...n = 2

d_{2} = 2 * d_{n-1} = 2 * d_{(2 - 1)} = 2 * d_{1} = 2 * 1 = 2

d_{3} = 3* d_{2} = 3 * 2 = 6

d_{4} = 4 * d_{3} = 4 * 6 = 24

So we have

1, 2, 6 , 24

neither......no common difference or common ratio

CPhill Apr 17, 2019