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In a figure pattern the first figure has (4) dots and each next figure has (5) more dots. How many dots are in the (9)th figure?

Answer and explanation

Correct answer: 44

The numbers of dots form an arithmetic progression with first term \(a=4\) and common difference \(d=5\). The ninth term is \(a_9=a+(9-1)d=4+8\times5=44\). Therefore, 44 is correct. Option 42 results from counting the increases incorrectly. Exam tip: for the \(n\)th term, remember that there are \(n-1\) intervals after the first term.

Related tags

Arithmetic ProgressionAp Word ProblemsNth TermFigure PatternWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions ApMathematics

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