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

QUESTION

Find the 10th term of an AP whose first trem  5 and sum of 10 terms is 185

 OPTIONS A. 30 B. 32 C. 34 D. 36
Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

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

$\dpi{120} \fn_jvn \large 185 = \frac{10}{2}(5+l)$

185 = 5(5+l)

37= 5+ l

l = 37-5 = 32

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