Question

If a n denotes the nth term of an arithmetic

sequence with a1=10 and d=2.7 and if b n denotes

the nth term of a geometric sequence with b1=10

and r=2, which number is larger, a 1,001 or b 1,001?

Answer 1

could you help me out, hartnn?

Answer 2

for arithmetic series
\(b_n = b_1+(n-1)d\)

Answer 3

to get b1001
plug in n = 1001

Answer 4

wait so d=2.7?

Answer 5

and n=1,001

Answer 6

that is given, you plug values in the formula i gavce

Answer 7

wait

Answer 8

I got b n=10+(1,000)2.7=2,710 :)?

Answer 9

so the answer for bn=2,710?

Answer 10

yes

Answer 11

wait

Answer 12

so do I do the same thing for a n?

Answer 13

hartnn

Answer 14

no,
the other sequence is geometric
its general formula for n'th term is
\(a_n = a_1 r^{n-1}\)

Answer 15

oops we mixed a and b

Answer 16

a1001 = 2710
and use
\(\large b_n =b_1 r^{n-1} \)

Answer 17

plug in values,
r =2, b1 = 10
n= 1001

Answer 18

so what is b1001 =...?

Answer 19

(10)(20) to the 1,000th power?

Answer 20

Am I right, son goku?

Answer 21

you mean 10* 2^{1000}
?

Answer 22

yeah

Answer 23

that's what I meant

Answer 24

is that it?

Answer 25

so whats b1001
which is greater ?
b1001 or a1001 ?

Answer 26

b1,001 of course

Answer 27

thanks man

Answer 28

yes, welcome ^_^

Answer 29

ty