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Using the Given Pattern, Find the Missing Numbers. 1square2 + 2square2 + 2square2 = 3square2 , 2square2 + 3square2 + 6square2 = 7square2 , 3square2 + 4square2 + 12square2 = 13square2 - CBSE Class 8 - Mathematics

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Question

Using the given pattern, find the missing numbers.

12 + 22 + 22 = 32

22 + 32 + 62 = 72

32 + 42 + 122 = 132

42 + 52 + _ 2 = 212

52 + _ 2 + 302 = 312

62 + 72 + _ 2 = __2

Solution

From the given pattern, it can be observed that,

1) The third number is the product of the first two numbers.

2) The fourth number can be obtained by adding 1 to the third number.

Thus, the missing numbers in the pattern will be as follows.

42 + 52 + 202 = 212

52 + 62 + 302 = 312

62 + 72 + 422 = 432

  Is there an error in this question or solution?

APPEARS IN

 NCERT Solution for Mathematics Textbook for Class 8 (2018 to Current)
Chapter 6: Squares and Square Roots
Ex. 6.10 | Q: 6 | Page no. 96
Solution Using the Given Pattern, Find the Missing Numbers. 1square2 + 2square2 + 2square2 = 3square2 , 2square2 + 3square2 + 6square2 = 7square2 , 3square2 + 4square2 + 12square2 = 13square2 Concept: Some More Interesting Patterns.
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