Question

82,97,114,133 next number

Answer 1

Answer:

82+15=97

97+17=114

114+19=133

So,

133+21=154

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Step-by-step explanation:

Answer 2

Series

The series given as $82,97,114,133$.

We need to find relationship among 2 terms and continue following that relationship.

Let the next number in the series be x.

$97-82=15\\\\114-97=17\\\\133-114=19$

Continuing this relationship, we found out that the difference between numbers is increasing by 2. Hence,

$x-133=21\\\\\implies x=133+21=154$

Hence 154 is the required number.