Question

Rita has deposited $1000 in a bank account. At the end of each year, the bank posts interest to her account in the amount of 5% of the balance, but then takes out a $10 annual fee.

would I write it as...
bn = 1.05bn - 10
or
bn = 1.05b(n-1) - 10



the n is subscript

Answer 1

\[b _{n} = 1.05b _{n-1} - 10 \]
or
\[b _{n} = 1.05b _{n} - 10 \]

Answer 2

lets label them,

\(b_n = \) end of year balance
\(b_{n-1} = \) start of year balance

Answer 3

then,

\(\large b_n = 1.05b_{n-1} - 10\)

is \(\large \color{red}{\checkmark}\)

Answer 4

Whooooo, so I got it write. I'm double checking :P

Answer 5

also notice that, here initial deposit amount \(\large b_0 = 1000\)

Answer 6

yes ! good work :)

Answer 7

right***********

Answer 8

using ur formula, after 1 year, the balance wud be,

\(\large b_1 = 1.05b_{1-1} - 10\)

\(\large b_1 = 1.05b_{0} - 10\)

\(\large b_1 = 1.05 \times 1000- 10\)

\(\large b_1 = 1040\)

Answer 9

which seems correct, so your formula is correct too :)

Answer 10

we can also write the formula like this :-

\(\large b_1 = 1000 \)
\(\large b_{n+1} = 1.05b_n - 10\)

Answer 11

i like the above one better, cuz i like the sequence to start wid \(\large b_1\)

but your sequence starts wid \(\large b_0\)

Answer 12

It actually starts with Bn !

Answer 13

Thanks for your help today! I got a 100 on my last few quizzes :). @ganeshie8

Answer 14

wow ok then you're right :) thats amazing congrats !!!!!!

Answer 15

its 4AM, I'm going to sleep.
Thanks again :).

Answer 16

omg ! i bet you deserve some good sleep ! goonight, have horrible math dreams :)

Answer 17

Hahahahaa nice oneeee :))))).
Bye bye!