Maths / Arithmetic Progression / Find The Value of Nth Term when Common Difference, Number of Terms and First Term are Given

QUESTION

In an AP if the first term is half the common difference then find the nth term

 OPTIONS A. a(2n+1) B. 2an +1 C. a(1-2n) D. a(2n-1)
Right Option : D

EXPLANATION
Explain TypeExplanation Content
Text

Let the first term = a

Common diffrence = 2a

$\dpi{120} \fn_jvn \large a_n = a+(n-1)d$

$\dpi{120} \fn_jvn \large a_n = a+(n-1)2a= a+ 2an -2a= 2an-a= a(2n-1)$

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