hkmiu
  • hkmiu
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!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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ganeshie8
  • ganeshie8
first term is already given :- \(\large a_1 = -5\)
ganeshie8
  • ganeshie8
lets try to find next term \(\large a_2\)
hkmiu
  • hkmiu
that's when i got lost. I'm confused at the end where it says multiple by An

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ganeshie8
  • ganeshie8
ohk... thats bit tricky yes. let me show how to do \(\large a_2\)
ganeshie8
  • ganeshie8
\(\large a_2 = a_{\color{red}{1}+1}\) that means, \(\color{Red}{n=1}\)
ganeshie8
  • ganeshie8
\(\large a_{\color{red}{n}+1} = \frac{\color{red}{n}^2-4}{4}. a_{\color{red}{n}}\)
ganeshie8
  • ganeshie8
put \(\large \color{red}{n}=1\) above
ganeshie8
  • ganeshie8
\(\large a_{\color{red}{1}+1} = \frac{\color{red}{1}^2-4}{4}. a_{\color{red}{1}} \)
ganeshie8
  • ganeshie8
\(\large a_{2} = \frac{1-4}{4}. a_{\color{red}{1}} \)
ganeshie8
  • ganeshie8
simplify
hkmiu
  • hkmiu
-3/4 times a1?
ganeshie8
  • ganeshie8
Yes ! and replace a1 wid its value also
hkmiu
  • hkmiu
-5?
hkmiu
  • hkmiu
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
ganeshie8
  • ganeshie8
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 :)
hkmiu
  • hkmiu
Yessss! It was much help! :)
ganeshie8
  • ganeshie8
:) np you're wlcme...

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