Grade 12 Mathematics: Sequences and Series
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Grade 12 Mathematics: Sequences and Series

Created by
@PurposefulElectricOrgan

Questions and Answers

What is the general formula for finding the nth term in an arithmetic sequence?

$T_n = a+(n-1)d$

What is the general formula for finding the sum of the first n terms in an arithmetic sequence?

$S_n = n(2a+(n-1)d)$

What defines a geometric sequence?

Each term is found by multiplying the preceding term by a fixed number.

What is the formula for finding the nth term in a geometric sequence?

<p>$T_n = ar^{n-1}$</p> Signup and view all the answers

What is the formula for finding the sum of the first n terms in a geometric sequence?

<p>$S_n = a(1-r^n)/(1-r)$</p> Signup and view all the answers

Under what condition does an infinite geometric series exist?

<p>$|r| &lt; 1$</p> Signup and view all the answers

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