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Blababa [14]
3 years ago
7

What is the recursive formula for this geometric sequence? -4,-24,-144,-864,...

Mathematics
1 answer:
balandron [24]3 years ago
7 0

\bf -4~~,~~\stackrel{-4\cdot 6}{-24}~~,~~\stackrel{-24\cdot 6}{-144}~~,~~\stackrel{-144\cdot 6}{-864}~\hfill \impliedby \begin{array}{llll} \textit{we're multiplying by 6 the previous}\\ \textit{term(n-1) to get the current one} \end{array} \\\\[-0.35em] ~\dotfill\\\\ a_n = a_{n-1}(6)\qquad for~~a_1=-4~~,~~n>2\qquad \impliedby \textit{recursive formula}

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Answer:

x= 5.6

Step-by-step explanation:

we will need to put the information we currently have into an equation:

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then multiply 10•2 which equals 20...then the equation wil turn out like this:

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now you will isolate the x... but how?? dividing 20 by itslef.. cancelling it out, and if you do one thing to the other side of the equation, you have to do it to the other...

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you will end up with x= 122/20

you can use a calculator for this step, but  to practice long division... (check the screen shot thingie)

hope this helped !! ^^

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