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Class 10 Mathematics Arithmetic Progressions (AP)Finding the $n$th term of an APExpert

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In an arithmetic progression (AP), a_{2p} = 74, a_p = 26, and the common difference is 6. What is the value of p?

Answer and explanation

Correct answer: 8

The difference between these terms is a_{2p} − a_p = (2p − p)d = 6p. Since 74 − 26 = 48, we get 6p = 48, so p = 8.

Related tags

Arithmetic-Progression Nth-Term Finding The $N$Th Term Of An Ap Finding The N Th Term Of An Ap Arithmetic Progressions (Ap)Arithmetic Progressions Ap Mathematics Class 10 Mcq

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