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  • Solve this problem If 100 times the 100th term of an AP with non zero common difference equals the 50 times its 50th term, then the 150th term of this AP is

If 100 times the 100th term of an AP with non zero common difference equals the 50 times its  50th term, then the 150th term of this AP is

  • Option 1)

    -150

  • Option 2)
    150 times its 50 th term

     

  • Option 3)

    150

  • Option 4)

    zero

 

Answers (2)

best_answer

As we learnt in 

General term of an A.P. -

T_{n}= a+\left ( n-1 \right )d

- wherein

a\rightarrow First term

n\rightarrow number of term

d\rightarrow common difference

 

 Given :\: \: 100(a+99d)=50 (a+49d)

\Rightarrow 2a+198d=a+49d

\Rightarrow a+149 d =0\: \: i.e.,T _{150}= 0


Option 1)

-150

This option is incorrect.

Option 2)

150 times its 50 th term

 

This option is incorrect.

Option 3)

150

This option is incorrect.

Option 4)

zero

This option is correct.

Posted by

Aadil

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