Maths / Arithmetic Progression / Find Last Term When First Term, Number of Terms and Sum of N Terms is Given

QUESTION

Find the 12th term of an AP whose first trem  4 and sum of 12 terms is 366

 OPTIONS A. 58 B. 54 C. 57 D. 65
Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

$\dpi{120} \fn_jvn \large S_n = \frac{n}{2}(a+l)$

$\dpi{120} \fn_jvn \large 366 = \frac{12}{2}(4+l)$

366 = 6(4+l)

61= 4+ l

l = 61-4 = 57

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