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

QUESTION
 

Which term in the AP is 1,4,7, ..... is 61

OPTIONS
A. 

20

B. 

21

C. 

17

D. 

16

Right Option : B

EXPLANATION
Explain TypeExplanation Content
Text

 

1,4,7 .... is an AP

a= 1 and d= 3

large a_n= a+ (n-1)d

a+(n-1) d= 61

1+(n-1) 3 = 61

1+3n-3 = 61

3n-2 =61

3n = 63

n= 21

 

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