Question

Find the value of (4°+49) x 22​

Answer 1

Answer:

I don't know

Step-by-step explanation:

Answer 2

Answer:

Given numbers:

25, 49, x, 169, 289

To determine x, we note that

5² = 25

7² = 49

11² = 121

13² = 169

17² = 289

(1) There are five numbers in the row and 5 is an odd number. x is the only unknown and it is in the middle, being the third number.

(2) These numbers can be expressed as squares of integers as shown above

(3)The difference between 7 and 5 is 2. But the difference between 17 and 13 is 4. And x is in the middle.

Therefore, the next number after 7 will be 11 and square of 11 is 121.

∴ x = 121

and the completed series is:

25, 49, 121, 169, 289 .

121 is the correct answer if you consider the following :

49–25 = 24

121–49 = 72

169–121 = 48

289–169 = 120

We see that the differences are all multiples of 24. If we take 81 instead of 121, the resulting difference 32 (= 81–49) is not a multiple of 24. Also 169–81=88 is not a multiple of 24. So only 121 fits in the pattern.

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