Question

find the missing term in the series 200, 197,185,163,130​

Answer 1

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Given Series:

• 200, 197,185,163,130​,?

To Find:

• The missing number(?)

Solution:

Let the missing term be x

We take the differences of each consecutive term to figure out the relation between the terms.

So,

⇒ 200 - 197 = 3

⇒ 197 - 185 = 12

⇒ 185 - 163 = 22

⇒ 163 - 150 = 33

Now we take difference of the differences obtained.

So,

⇒ 12 - 3 = 9

⇒ 22 - 12 = 10

⇒ 33 - 22 = 11

The difference of the differences are consecutive numbers starting from 9. Hence the next difference of the differences has to be 12. And so, the next difference will be:

⇒ 33 + 12 = 45

So,

⇒ 150 - x = 45

⇒ x = 105

The missing number is 105

Answer 2

Step-by-step explanation:

105 is the missing number.