Maths / Arithmetic Progression / General Term Of an AP

QUESTION
 

The fourth term of an AP is 0. Prove that its 25th term is thrice its 11th term.

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 a_{25}= 3 Xa_{11}

large a+ 24d= 3(a+10d)

large a+ 24d= 3a+30d

large a+ 24d - 3a-30d=0

large -2a-6d=0

large -2(a+3d)=0

According to equation I

a+3d=0

LHS=RHS

Hence proved

 

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