Question

8,6,12,14,9,21,23,12,36,21,9,? next digit...ans is 35 but how plzzz give me reply please​

Answer 1

Answer:

The value of the next number in the series is 35.

Step-by-step explanation:

Assumption,

Let the unknown value be 'x'.

Given,

The series 8, 6, 12, 14, 9, 21, 23, 12, 36, 21, 9, x

To find,

The value of 'x'.

Calculation,

We try to take the triplets from the given series.

i.e. (8, 6, 12), (14, 9, 21), (23, 12, 36), (21, 9, x)

Now,

The first number multiplied by 2 - second number = third number -2

i.e. (8 × 2) - 6 = 12 -2

     (14 × 2) - 9 = 21 - 2

     (23 × 2) - 12 = 36 - 2

     (21 × 2) - 9 = x - 2...(1)

For finding 'x' we need to solve equation (1)

42 - 9 = x - 2

⇒ x = 35.

Therefore, the value of the next number in the series is 35.

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Answer 2

Answer: The last term is 35

Step-by-step explanation:

A recurring arrangement of numbers, forms and other elements constitutes a pattern in mathematics. The Pattern can be connected to any kind of occasion or thing. When a group of numbers are arranged in a particular way, the arrangement is referred to as a pattern. Patterns can also occasionally be referred to as a series. The number of patterns can be limitless or finite.

Several instances of numerical patterns include:

Pattern of odd numbers: 3, 5, 7, 9, 11, 13, 15, 17, 19.

Pattern of the Fibonacci numbers: 1, 1, 2, 3, 5, 8, 13, 21, and so forth.

Given series, $8,6,12,14,9,21,23,12,36,21,9,?$

We can also write this as $(8,6,12)(14,9,21)(23,12,36)(21,9,?)$

Now, observing the first triplet, i.e. $(8,6,12)$

$8\times 2-6+2=12$

Similarly, the second triplet $(14,9,21)$

$14\times 2 -9+2=21$

Similarly, the third triplet $(23,12,36)$

$23\times 2-21+2=36$

From the above examples, we can see that

$first\ no.\ \times 2-second\ no.+2=third\ no.$

Taking the last triplet,  $(21,9,?)$

$21\times 2-9+2=35$

To know more about patterns, click on the links below:

https://brainly.in/question/8806141

https://brainly.in/question/51267796

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