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MathsGee Android Q&A

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298 views
Find the common second difference for the following sequence:
\[
-13 ;-25 ;-43 ;-67 ; \ldots
\]
in Mathematics by Diamond (66,975 points) | 298 views

1 Answer

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Best answer

Start by finding the first differences of the terms:
\[
\begin{aligned}
&\text { For } T_{1} \text { and } T_{2}: \quad-25-(-13)=-12 \\
&\text { For } T_{2} \text { and } T_{3}: \quad-43-(-25)=-18 \\
&\text { For } T_{3} \text { and } T_{4}: \quad-67-(-43)=-24
\end{aligned}
\]
Now calculate the second differences:
\[
\begin{array}{ll}
\text { first two differences: } & -18-(-12)=-6 \\
\text { next two differences: } & -24-(-18)=-6
\end{array}
\]

 

difference
In this case, the second differences are equal to each other, with a value of \(-6\).

 

 

by Diamond (66,975 points)

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MathsGee Android Q&A

MathsGee Android Q&A