Question

find the next number of the series 12,13,14,18,26,35​

Answer 1

Answer:

The given series is

12, 14, 18, 26..

Starting with first number

12+(2×1)=12+2=14

14+(2×2)= 14+4=18

18+(4×2)=18+8=26

26+(8×2)=26+16=42

42+(16×2)=42+32=74

74+(32×2)=74+64=138….

Now rewriting the series

12, 14, 18, 26, 42, 74, 138…

Answer the next three numbers in the series are 42, 74 and 138

Step-by-step explanation:

Answer 2

Answer :

›»› The next number of the series 12,13,14,18,26,35 is 62.

Given :

• The series 12, 13, 14, 18, 26, 35.

To Find :

• The next number of the series

Solution :

Here in this question we have to find the next number of the series. To find the next number of the series Add 1², 1³, 2², 2³, 3², 3³ with the series.

→ 12 + 1²

→ 12 + 1

→ 13

→ 13 + 1³

→ 13 + 1

→ 14

→ 14 + 2²

→ 14 + 4

→ 18

→ 18 + 2³

→ 18 + 8

→ 26

→ 26 + 3²

→ 26 + 9

→ 35

→ 35 + 3³

→ 35 + 27

→ 62

Hence, the next number of the series 12, 13, 14, 18, 26, 35 is 62.

Similarly, we can find the other next numbers of the series, by adding 1², 1³, 2², 2³, 3², 3³, 4², 4³, 5², 5³... with the series.

Let's also find the other next numbers of the series.

→ 62 + 4²

→ 62 + 16

→ 78

→ 78 + 4³

→ 78 + 64

→ 142

→ 142 + 5²

→ 142 + 25

→ 167

→ 167 + 5³

→ 167 + 125

→ 292

Hence, The number of the series is 12, 13, 14, 18, 26, 35, 62, 78, 142, 167, 292.....