Question

The sequence an = 2, 4, 8, 16, 32, ... is the same as the sequence a1 = 2, an = 2an - 1.
A.True
B.False

Answer 1

let n=1
just check
a1=2a1-1
u can find answer

Answer 2

is the now term, twice the last term?

Answer 3

i dont understand

Answer 4

do you know how to generate a sequance of numbers?

Answer 5

not really

Answer 6

the terms of the sequence here are named:

a1
a2
a3
a4
a5

right?

Answer 7

ok

Answer 8

and they have certain values:

a1 =2
a2 =4
a3 =8
a4 =16
a5 =32

right?

Answer 9

yea

Answer 10

so we have to compare this to the rule given to see if it matches up; the first part of the rule asks; does a1=2

Answer 11

ok how do i do that

Answer 12

you look at the list and see if a1 is equal to 2 to start off with .....

Answer 13

ok then what will i do

Answer 14

then you will compare the rule that states how each new term is formed from the the one before it and see if that matches

Answer 15

for example; when n=2, what does n-1 equal?

Answer 16

would the answer be false?

Answer 17

maybe, but we havent finished checking to see if it matches the rules .....

Answer 18

The answer is true