Maths / Arithmetic Progression / General Term Of an AP

QUESTION
 

For an AP, if 6 times the 6th term is equal to 9 times the 9th term, then the value of 15th term is ____________

OPTIONS
A. 

15

B. 


14

C. 


0

D. 


cannot be calculated

Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

large dpi{120} fn_jvn large dpi{120} fn_jvn large a_6=a+(6-1)d=a+5d

large a_9=a+(9-1)d=a+8d

A.T.Q.

large 6; X ;a_6= 9 ;X;a_9

large 6(a+5d)= 9(a+8d)

large 6a+30d= 9a+72d

large 6a+30d - 9a-72d =0

large -3a-42d =0

large -3(a+14d) =0

large a+14d =0

large a_{15} =0

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