1.

What is the 100th term of the linear sequence below? − 9 , − 5 , − 1 , 3 , 7 ,

Answer»

Answer:

387

Step-by-step explanation:

Here, second is given by + 4 of the previous term.

 2nd term = 4( 2 - 1 ) + FIRST term

 3rd term = 4( 3 - 1 ) + first term

 4th term = 4( 4 - 1 ) + first term'

 nth term = 4( n - 1 ) + first term

Hence,

100TH term = 4( 100 - 1 ) + ( - 9 )

            = 396 - 9

            = 387

      If you are familiar to APS, using its properties  

nth term = a + ( n - 1 )d, where a is the first term and d is the COMMON difference.

 100th term = - 9 + ( 100 - 1 )( 4 )

                = - 9 + ( 99 * 4 )

                = - 9 + 396

                = 387


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