<ol class="abc-list"><li><div class="list-item-paragraph">A company predicts a yearly profit of $\$100\;000$ in the year 2013. The company also predicts that the yearly profit will rise each year by $5\%$.</div><ol class="i-list"><li><div class="list-item-paragraph">Show that the predicted profit in 2015 is $\$110\;250$.<span class="inline-marks">[1]</span></div></li><li><div class="list-item-paragraph">Find the first year in which the yearly predicted profit exceeds $\$200\;000$.<span class="inline-marks">[3]</span></div></li><li><div class="list-item-paragraph">Find, in terms of $m$, the sum of the predicted yearly profits from the year 2015 till the year $\left( 2000+m \right)$, where&nbsp;$m&gt;15$.<span class="inline-marks">[2]</span></div></li></ol></li><li><div class="list-item-paragraph">An arithmetic progression has first term $a$ and common difference $d$, where&nbsp;$a$ and $d$ are non- zero. The second, seventh and ninth terms of the arithmetic progression are consecutive terms of a geometric progression. Find, in terms of $d$, the sum of the first 20 odd-numbered terms of the arithmetic progression.<span class="inline-marks">[4]</span></div></li></ol>

A company predicts a yearly profit of $\$100 000$ in the year 2013. The company also predicts that the yearly profit will rise each year by $5\%$.

A company predicts a yearly profit of $\$100\;000$ in the year 2013. The company also predicts that the yearly profit will rise each year by $5\%$.

Show that the predicted profit in 2015 is $\$110 250$.

Find the first year in which the yearly predicted profit exceeds $\$200 000$.

Find, in terms of $m$, the sum of the predicted yearly profits from the year 2015 till the year $\left( 2000+m \right)$, where $m>15$.

An arithmetic progression has first term $a$ and common difference $d$, where $a$ and $d$ are non- zero. The second, seventh and ninth terms of the arithmetic progression are consecutive terms of a geometric progression. Find, in terms of $d$, the sum of the first 20 odd-numbered terms of the arithmetic progression.

2013 IJC P2 Q2

2013 IJC P2 Q2

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