Question

ahhhhh help!! arithmetic sequencessss

Answer 1

\[a _{n}=2a _{n-1}+3\]

Answer 2

the question?

Answer 3

\[a_{1}=2\]

Answer 4

That is all it gives me

Answer 5

what does the question say?

Answer 6

find what?

Answer 7

I'm supposed to find the first 5 terms of the sequence.

Answer 8

ok so you are given the first term a1=1
to find the next term you use the explicit formula
\[a_n=2a_{n-1}+3\]
\[a_2=2a_{2-1}+3=2a_1+3=2(1)+3=5\]

Answer 9

now you got second term you use it to find the next term
\[a_3=2a_2+3=2(5)+3=13\]

Answer 10

you continue in this manner till you reach the fifth term

Answer 11

I think what is confusing me is that \[a _{1}\] shouldn't equal 2 according to the function.

Answer 12

i can't grasp what you are trying to say?
a1 is given to you it is not 2 it is 11

Answer 13

it 1*

Answer 14

they gave you the formula and a1=1

Answer 15

Yeah, but the assignment says it is 2 for some reason.

Answer 16

oh sorry my fault hehe i thought i saw 1
it is a1=2
truly sorry not enough attention

Answer 17

the method won't change though

Answer 18

\(a_1=2\)
\[a_2=2a_1+3=2(2)+3=7\]
\[a_3=2a_2+3=2(7)+3=17\]
\[a_4=2a_3+3=2(17)+3=37\]

Answer 19

you need one more go for it

Answer 20

\[a_{5}=2a _{4}+3=2(37)+3=77\]

Answer 21

yes

Answer 22

you see that at each step we are using the previous term to find the next one

Answer 23

Thank you :)

Answer 24

np!