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In an AP, a_6 = 23 and a_18 = 95. Find a_33.

Answer and explanation

Correct answer: 185

The common difference is d = (95 − 23)/(18 − 6) = 72/12 = 6. From the 18th term to the 33rd term there are 15 steps, so a_33 = 95 + 15 × 6 = 185.

Related tags

Arithmetic-ProgressionCommon-DifferenceFinding The $N$Th Term Of An ApFinding The N Th Term Of An ApArithmetic Progressions (Ap)Arithmetic Progressions ApMathematicsClass 10 Mcq

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