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What is the (20)th term of the AP (-5,-2,1,4,\ldots)?

Answer and explanation

Correct answer: 52

The first term is \(a=-5\), and the common difference is \(d=-2-(-5)=3\). Hence, \(a_{20}=a+(20-1)d=-5+19\times3=52\). Therefore, 52 is correct. Choosing 49 means counting only 18 intervals, but there are 19 intervals from the first term to the 20th term. Exam tip: Use \(a_n=a+(n-1)d\) and check \(n-1\) before calculating.

Related tags

Arithmetic ProgressionNth TermCommon DifferenceClass 10 MathematicsAp FormulaFinding The $N$Th Term Of An ApFinding The N Th Term Of An ApArithmetic Progressions (Ap)

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