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Class 10MathematicsArithmetic Progressions (AP)Word problems based on APsEasy
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In a pattern, the first figure has (3) matchsticks and each next figure has (4) more matchsticks. How many matchsticks are in the (11)th figure?

Answer and explanation

Correct answer: 43

The matchstick counts form an arithmetic progression with first term \(a=3\) and common difference \(d=4\). The 11th term is \(a_{11}=a+(11-1)d=3+10\times4=43\). Option 41 can result from incorrectly counting the number of increases. Exam tip: always use \(a_n=a+(n-1)d\) for the nth term.

Related tags

Arithmetic ProgressionAp Word ProblemsNth TermMatchstick PatternClass 10 MathematicsWord Problems Based On ApsArithmetic Progressions (Ap)Arithmetic Progressions Ap
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