Maths / Arithmetic Progression / General Term Of an AP

QUESTION
 

The fourth term of an AP is 0. What is the relationship between its 25th term and its 11th term.

OPTIONS
A. 

Equal

B. 


Double

C. 


Triple

D. 


Four Times

Right Option : C

EXPLANATION
Explain TypeExplanation Content
Text

large a_n=a+(n-1)d =0

large a_4=a+(4-1)d = a+3d

A.T.Q.

large a+3d =0                                    (I)

large a_{25}=a+24d

large a_{11}=a+10d

A.T.Q.

large dpi{120} fn_jvn large a_{25}= m Xa_{11}

large a+ 24d= m(a+10d)

large frac{a+ 24d}{a+10d}=m

large frac{a+ 3d+21d}{a+3d+7d}=m

According to equation I

a+3d=0

large frac{0+21d}{0+7d}=m

large frac{21d}{7d}=m

large 3=m

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