Question

Find the next number in the series:
121, 225, 361, ?

Answer 1

Answer:

The first number in the sequence, 121 is the square of 11. The second number, 225 is the square of (11+4 i.e. 15). The third number, 361 is the square of (15+4 i.e. 19). Therefore the fourth and next number in the series would be the square of 19+4 i.e. 23

Answer 2

529 is the next number.

Explanation:

According to the given information, the series is given as 121, 225, 361, ?

Now, the first term is 121.

Also, we know that if we multiply 11 with itself, that is if we take a square of 11, we will get, 11 * 11 = 121.

Now, when we add 4 to 11, we get, 11 + 4 = 15.

Also, we know that if we multiply 15 with itself, that is if we take a square of 15, we will get, 15 * 15 = 225.

According to the given problem, 225 is the second term of the given series.

Now, when we add 4 to 15, we get, 15 + 4 = 19.

Also, we know that if we multiply 19 with itself, that is if we take a square of 19, we will get, 19 * 19 = 361.

According to the given problem, 361 is the third term of the given series.

To find the last term of the series, that is the fourth term of the series, we need to add four with the square root of the third term of the given series and take a square of the result to get the desired term of the series.

Now, when we add 4 to 19, we get, 19 + 4 = 23.

Also, we know that if we multiply 23 with itself, that is if we take a square of 23, we will get, 23 * 23 = 529.

According to the given problem, 529 should be the fourth term of the given series.

Thus, 529 is the next number.

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