Question

If 15 = 36, 16 = 49, 17 = 64, 19 = ??​

Answer 1

Answer:

15 = 36 , 16 = 49 , 17 = 64 , 19 = 84 .

Answer 2

If 15 = 36, 16 = 49, 17 = 64, 19 = 100

Given : 15 = 36, 16 = 49, 17 = 64

To find : 19 = ?

Solution :

Step 1 of 3 :

Write down the given sequence

15 = 36, 16 = 49, 17 = 64

Step 2 of 3 :

Find the pattern

We see that

$\sf 15 = {(1 + 5)}^{2} = {6}^{2} = 36$

$\sf 16= {(1 + 6)}^{2} = {7}^{2} = 49$

$\sf 17 = {(1 + 7)}^{2} = {8}^{2} = 64$

Thus for a number ab we get

$\sf ab = {(a + b)}^{2}$

Step 3 of 3 :

Find the number

Thus we have

$\sf 19 = {(1 + 9)}^{2} = {10}^{2} = 100$

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