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

QUESTION
 

Which term of the AP : 3, 8,13,18,........is 78 ?

OPTIONS
A. 

15

B. 

16

C. 

14

D. 

None of these

Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

The AP : 3, 8,13,18,........is 78

a = 3, d =5

large _{t_{n}}=78

large Rightarrow a+(n-1)d=78

large Rightarrow 3+(n-1)times 5=78Rightarrow n=16

Hence, large t_{16}=78

 

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