Question

what will be next in sequence 5 3 9 13 23 __?
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Answer 1

Answer:

37

Step-by-step explanation:

5+3+1=9  

3+9+1=13  

9+13+1=23  

13+23+1=37

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Answer 2

Answer:

The next number in sequences 5, 3, 9, 13, and 23 will be 37.

Step-by-step explanation:

Step 1:-

According to the sequences of the numbers in the questions, represent the logic that:-

the third number is the sum of first, second, and 1,

i.e., let the first term be x second be y, and the third be z, followed by p and q for the last numbers.

giving that, ⇒ z = ( x + y + 1 )    [from the above logic]

                  ⇒ p = ( y + z + 1 )

                  ⇒ q = ( z + p + 1 )

Step 2:-

So, accordingly, the next term in the sequence will be just like the others,

i.e., the sum of the last two digits and 1,

Let the next number be "r",

⇒ r = ( p + q + 1 )

⇒ r = ( 13 + 23 + 1 )         [ as given in the question p = 13, q = 23 ]

⇒ r = 37.

∴ The next number in sequences 5, 3, 9, 13, and 23 will be 37.

To learn more about such sums,

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