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

large S_n = frac{n}{2}(a+l)

large 185 = frac{10}{2}(5+l)

185 = 5(5+l)

37= 5+ l

l = 37-5 = 32

 

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