Dini was given $10$ stickers for her birthday. She then starts to buy stickers for a total pe

Question

Dini was given $10$ stickers for her birthday. She then starts to buy stickers for a total period of $52$ weeks. The number of stickers she buys each week is $2$ more than the number she bought the previous week. If she bought $70$ stickers in the ${{26}^{\mathrm{th}}}$ week, find the number of stickers she would have at the end of $52$ weeks.[3] If she can only afford to buy $420$ stickers in the last $4$ weeks, find the maximum number of stickers she can buy in the first week.[3] The sum of the first $n$ terms of a sequence is given by $2({{3}^{n+1}}-3)$. By finding the $n$ th term of the sequence, or otherwise, show that this is a geometric progression, and state the values of the first term and common ratio. Explain, whether this geometric progression converges.[6]

Accepted Answer

(a)(i) 3702, (a)(ii) 6 stickers, (b) GP: first term 12, r=3, does not converge

2013 TPJC P2 Q4

2013 TPJC P2 Q4

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