Question

what is 100th term pattern of 1,3,5,7,9,11

Answer 1

100th term pattern of 1,3,5,7,9 is 201

Answer 2

The 100th term of the pattern 1 , 3 , 5 , 7 , 9 , 11 is 199

Given :

The pattern 1 , 3 , 5 , 7 , 9 , 11

To find :

The 100th term of the pattern

Solution :

Step 1 of 2 :

Write down the given pattern

The given pattern is 1 , 3 , 5 , 7 , 9 , 11

Step 2 of 2 :

Find the 100th term of the pattern

1 , 3 , 5 , 7 , 9 , 11 is an arithmetic progression

First term = a = 1

Common Difference = d = 3 - 1 = 2

Hence 100th term of the pattern

= a + ( 100 - 1)d

= 1 + ( 99 × 2 )

= 1 + 198

= 199

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