Maths / Arithmetic Progression / Find The Value of Nth Term when Common Difference, Number of Terms and First Term are Given

QUESTION
 

Which  term of the AP 1, 5, 9, 13, ......... is 405?

OPTIONS
A. 

103^r^d

B. 

105^t^h

C. 

117^t^h

D. 

102^n^d

Right Option : D

EXPLANATION
Explain TypeExplanation Content
Text

For the given AP a = 1, a + d = 5 or d = 4

Let                    a_n  = 405 rightarrow  a + (n - 1) d = 405

rightarrow             1 + (n - 1) (4) = 405  rightarrow  (n - 1) (4) = 404  rightarrow n - 1 = 101

rightarrow                               n = 102

Thus the 102^t^h term is 405.

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