Question

5,6,7,8,10,12,14,20,,the next number in the series is​

Answer 1

Answer:

26 th no.

Step-by-step explanation:

5,6,7 no no. skipped

8,10,12 1 no. skipped

14,20 6 no. skipped

then A.T.Q

the next no. that comes after 20 will also have 6 no. skipped..

thank you..

Answer 2

The next number in the series: 5,6,7,8,10,12,14,20,... is 19.

Step-by-step Explanation

Given:

A series: 5,6,7,8,10,12,14,20,...

To be found:

To find the next number in the given series.

Solution:

We have the given series: 5,6,7,8,10,12,14,20,...

This series is a combination of two alternate series: 5,7,10,14,.. and 6,8,12,20,...

For the first series, we are adding (+2, +3, +4, +5,...) to get the succeeding numbers.

We can demonstrate the numbers in the series 5,7,10,14,.. as,

• 5+2=7
• 7+3=10
• 10+4=14
• 14+5=19

For the second series, we are adding (+2, +4, +8, +16,...) to get the succeeding numbers.

We can demonstrate the numbers in the series 6,8,12,20,... as,

• 6+2=8
• 8+4=12
• 12+8=20
• 20+16=36

Now, considering both the series, we know that the given series is an alternate combination of both the series.

Hence, we get the complete series as, 5,6,7,8,10,12,14,20,19,36,..

Therefore, the next number in the given series is 19 followed by 36.

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