Question

Identify the next number in the following pattern 81, 72, 63, 54, 45, 36,____,____.

a)18 and 27

b)9 and 18

c)27 and 18

4)18 and 9

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Answer 1

Answer:

Identify the next number in the following pattern 81, 72, 63, 54, 45, 36,27,18

Step-by-step explanation:

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Answer 2

The correct solution to the given question is option c: 27 and 18, for which the solution is explained below.

Given:

The number pattern: 81, 72, 63, 54, 45, 36,____,____.

To find:

The number in the blanks by following the pattern =?

Solution:

Let us start finding common correlations in all the numbers.

All the numbers are divisible by 9.

First number= 81

$\frac{81}{9}$ = 9

Second number = 72

$\frac{72}{9}$ = 8

Third number = 63

$\frac{63}{9}$ = 7

Fourth number = 54

$\frac{54}{9}$ = 6

Fifth number = 45

$\frac{45}{9}$ = 5

Sixth number = 36

$\frac{36}{9}$ = 4

The seventh number = To follow the pattern, the number is the product of 9 and 3.

9 × 3 = 27

$\frac{27}{9}$ = 3

The eighth number = To follow the pattern, the number is the product of 9 and 2.

9 × 2 = 18

$\frac{18}{9}$ = 2

Hence, the option with the correct missing values 27 and 18 is option c.