2026 CSS P1 Q4

2026 CSS P1 Q4

Secondary 4
3 marks

Consider the pattern:

RowMathematical sentenceSumNo. of odd integers
\(1\)\(1+3\)\(4\)\(2\)
\(2\)\(1+3+5\)\(9\)\(3\)
\(3\)\(1+3+5+7\)\(16\)\(4\)
\(4\)\(1+3+5+7+9\)\(25\)\(5\)
\(\vdots\)\(\vdots\)\(\vdots\)
\(n\)\(1+3+5+\ldots+k\)\(S\)
  1. Is it possible to have a sum of 200? Explain your answer.[1]
  2. Express \(k\) in terms of \(n\).[1]
  3. How many odd integers are there from 1 to 49?[1]

Solution:

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Answer:(a) No; 200 is not a square number. (b) \(k=2n+1\) (c) \(25\)

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