2020 TJC IP1 FM EOY Q9

2020 TJC IP1 FM EOY Q9

IP 1
7 marks
  1. The first four terms in a sequence are \(3,5,7,9\). Find an expression, in terms of \(n\), for the \(n\)th term of this sequence.[1]
  2. Consider the following number pattern:
    RowSum
    1\(1^2+3=4=2^2\)
    2\(2^2+5=9=3^2\)
    3\(3^2+7=16=4^2\)
    4\(4^2+9=25=5^2\)
    10
    \(n\)
    1. With reference to the table above, fill in the blanks in the table.[3]
    2. Explain whether \(216\) is a term in this sequence.[1]
    3. Given that the difference between two consecutive terms in this sequence is \(97\), find these two consecutive terms.[2]

Solution:

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Answer:(a) \(2n+1\) (b)(i) \(10^2+21=121=11^2\); \(n^2+(2n+1)=(n+1)^2\) (ii) no (iii) \(2304,2401\)

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