Question

an=2+(n-1)6 i need to know what the an means and a1 means
i am doing arithmetic sequence and geometric sequence

Answer 1

a1 is the first term

an is the nth term

Answer 2

the general arithmetic sequence is given by

an = a1 + (n-1)*d

so we see from an=2+(n-1)6 that a1 = 2 and d =6

Answer 3

yes so what does an mean and a1 mean and d means

Answer 4

with an=2+(n-1)6, the first term is 2, and the common difference is 6

Answer 5

so the sequence is

2, 8, 14, 20, ...

Answer 6

an is just the general term (or nth term)

Answer 7

ok so what is the d

Answer 8

d = 6

Answer 9

that's the common difference

Answer 10

ie what you add/subtract to each term

Answer 11

so if i had to write an arithmetic sequence with 5 terms what would it look like

Answer 12

jim you still here

Answer 13

If you want to write the first 5 terms of an=2+(n-1)6, start with 2, and add 6 to each current term to get the next term

Answer 14

2+6 = 8

8+6 = 14

14+6 = 20

20+6 = 26

Answer 15

so the first five terms of an=2+(n-1)6 are


2, 8, 14, 20, 26

Answer 16

so the problem alone would be the sequence

Answer 17

what do you mean

Answer 18

i am needing an arithmetic sequence using 5 numbers (terms)

Answer 19

i just gave you one

2, 8, 14, 20, 26

Answer 20

ok sorry new to algebra just started this year thanks for all your help

Answer 21

np

Answer 22

is a geometric sequence the same as the arithmetic sequence

Answer 23

no, a geometric sequence is generated by multiplying (instead of adding) some constant number to each term

Answer 24

an example geometric sequence is

1, 2, 4, 8, 16

because we're multiplying each term by 2 to get the next term

Answer 25

an=5*3n-1

Answer 26

so we would be mutiplying each term by two in this one right

Answer 27

in the case of an=5*3^(n-1), you start with 5, and you multiply it by 3 to get 15, then you multiply that by 3 to get 45, etc etc to get this sequence


5, 15, 45, 135, 405

Answer 28

so what would the n be

Answer 29

n is a variable and it represents the current term

for instance, for the first term, n = 1

for the second term, n = 2,

for the third term, n = 3,

etc

Answer 30

an is the nth term in this one correct and a1 is the first term right

Answer 31

an is the nth term

a1 or just 'a' is the first term

Answer 32

ok i think i am getting the hang of this

Answer 33

ok great

Answer 34

with an equation an =3*5n-1 what would the sequence be. multiply the first by five and so on and so forth right

Answer 35

i came up with 3,15,75,425,2125 is that correct

Answer 36

5 would be the common ratio i think

Answer 37

is that correct jim

Answer 38

for an =3*5n-1, the first five terms are

3, 15, 75, 375, 1875

Answer 39

dont you multiply everything by 5 except the first one right

Answer 40

no, you multiply 3 by 5 to get 15

15 by 5 to get 75

75 by 5 to get 375

etc

Answer 41

yeah thats what i thought just messed up the math on 75*5 thats where i messed up

Answer 42

i gotcha

Answer 43

thanks for all your help jim i think i understand this now

Answer 44

sure thing, glad it's all clicking now