Complete the given number series by identifying the logical pattern.

Answer:In the number series

5, 10, 20, 35, 55, \dots

, the value of the missing term is 【80】.

The terms increase by successive multiples of 5:

+5, +10, +15, +20

. Continuing this pattern, the next increment must be

+25

, giving

55 + 25 = 80

Calculate the differences between consecutive terms in the series.

10 - 5 = 5

20 - 10 = 10

35 - 20 = 15

55 - 35 = 20

Finding the differences between consecutive terms helps identify the underlying sequence rule.

Determine the pattern governing the differences.

The differences form a sequence that increases by

5

at each step (

5, 10, 15, 20, \dots

The next difference must be

20 + 5 = 25

Add the calculated difference to the preceding term to obtain the missing value.

55 + 25 = 80

Adding the next difference of

25

to the fifth term (

55

) produces the sixth term.

Number Series Completion via Increasing Differences

Question