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

QUESTION
 

Find the large 10^t^h term of the AP - 40, - 18, 4, 26, ......

OPTIONS
A. 

160

B. 

157

C. 

168

D. 

158

Right Option : D

EXPLANATION
Explain TypeExplanation Content
Text

Here                   a = - 40 and d = - 18 - (-40) = 22

We know that     a_n = a +(n - 1) d

rightarrow                    a_1_0 = a + (10 - 1)d = - 40 + 9 (22) = - 40 + 198 = 158

   Thus,            a_1_0 = 158

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