Maths / Arithmetic Progression / Finding The Value of N When Nth Term and AP is Given

QUESTION

Which term of the AP:-16,-11, -6,-1,........ is 59?

EXPLANATION
Explain TypeExplanation Content
Text

APis -16,-11, -6,-1-----

$\dpi{120} \fn_jvn \large a= -16, \; d= -11-(-16)= -11+16 = 5$

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

$\dpi{120} \fn_jvn \large 59= -16+ (n-1)5$

$\dpi{120} \fn_jvn \large 59= -16+ 5n-5 = -21+5n$

$\dpi{120} \fn_jvn \large 5n=59+21= 80$

$\dpi{120} \fn_jvn \large n=\frac{80}{5}= 16$

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