Question

1,11,42,219,1542, what is next number of this series​

Answer 1

Answer:

Step-by-step explanation:

Answer 2

The next number of the series is 16971.

Step-by-step explanation:

According to the given information, the given series is, 1,11,42,219,1542,...

We need to find the next number after 1542.

Now, the first term of the series is 1. When we multiply 1 by 2, we get, 1 * 2 =  2. Now, adding 9 to the product, we get, 2 + 9 = 11, which is the second term of the given series.

Now, the second term of the series is 11. When we multiply 11 by 3, we get, 11 * 3 =  33. Now, adding 9 to the product, we get, 33 + 9 = 42, which is the third term of the given series.

Now, the third term of the series is 42. When we multiply 42 by 5, we get, 42 * 5 =  210. Now, adding 9 to the product, we get, 210 + 9 = 219, which is the fourth term of the given series.

Now, the fourth term of the series is 219. When we multiply 219 by 7, we get, 219 * 7 =  1533. Now, adding 9 to the product, we get, 1533 + 9 = 1542, which is the fifth term of the given series.

Now, the sixth term can be found out in a similar way. Multiplying the fifth term of the given series with the next prime number that is 11, we will get a product. Sum of this product with 9 will give the next number of the series.

Now, the fifth term of the series is 1542. When we multiply 1542 by 11, we get, 1542 * 11 =  16962. Now, adding 9 to the product, we get, 16962 + 9 = 16971, which is the sixth term of the given series.

Thus, the next number of the series is 16971.

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