Question

Find the first five terms of the given sequence.
http://media.education2020.com/evresources/648-12-08-00-00_files/i0060000.jpg
I'm completely lost!

Answer 1

first term is already given :-
\(\large a_1 = -5\)

Answer 2

lets try to find next term \(\large a_2\)

Answer 3

that's when i got lost. I'm confused at the end where it says multiple by An

Answer 4

ohk... thats bit tricky yes. let me show how to do \(\large a_2\)

Answer 5

\(\large a_2 = a_{\color{red}{1}+1}\)

that means, \(\color{Red}{n=1}\)

Answer 6

\(\large a_{\color{red}{n}+1} = \frac{\color{red}{n}^2-4}{4}. a_{\color{red}{n}}\)

Answer 7

put \(\large \color{red}{n}=1\) above

Answer 8

\(\large a_{\color{red}{1}+1} = \frac{\color{red}{1}^2-4}{4}. a_{\color{red}{1}} \)

Answer 9

\(\large a_{2} = \frac{1-4}{4}. a_{\color{red}{1}} \)

Answer 10

simplify

Answer 11

-3/4 times a1?

Answer 12

Yes ! and replace a1 wid its value also

Answer 13

-5?

Answer 14

OOOOOOOOOOOOOOOOH. I got it now. It was a simple mistake I've made -_-. I've been doing math since 12pm today, lol. my brain is fried.
Anyways, thanks for your help!!! @ganeshie8

Answer 15

lol glad you knocked it down :)

a2 = -3/4 a1 =-3/4(-5) = 15/4

similarly we can use a2 to find a3... and so on.. im sure you saw it as an recursive relation :)

Answer 16

Yessss! It was much help! :)

Answer 17

:) np you're wlcme...