ASRJC APGP Tutorial Q2

Timothy Gan

ASRJC APGP Tutorial Q2

A geometric series, $G$, has common ratio $r$, $r\ne 1$, and an arithmetic series, $A$, has a non-zero first term $a$.

The first three terms of $G$ are equal to the seventh, third and first term of $A$ respectively.

(i)

Show that $2{{r}^{2}}-3r+1=0$.

[2]

(ii)

Deduce that $G$ is convergent.

[2]

(iii)

Find the sum to infinity of the even-numbered terms of $G$ in terms of $a$.

[2]

Suggested Video and Handwritten Solutions

mf 27 ASRJC APGP Tutorial Q2

mf 27 ASRJC APGP Tutorial Q2

mf 27 ASRJC APGP Tutorial Q2

mf 27 ASRJC APGP Tutorial Q2

mf 27 ASRJC APGP Tutorial Q2

mf 27 ASRJC APGP Tutorial Q2

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Published: 18th August 2023
mf 27 ASRJC APGP Tutorial Q2
Written by
Timothy Gan
This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.
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Published: 18th August 2023

Written by

Timothy Gan

This is Tim. Tim loves to teach math. Tim seeks to improve his teaching incessantly! Help Tim by telling him how he can do better.

Leave a Reply

Your email address will not be published. Required fields are marked *