Question

1, 2, 10, 37, 101, __​

Answer 1

Answer:

226 is the correct answer.

Answer 2

Answer:

226 will be the next term of the given sequence 1,2,10,37,101

Step-by-step explanation:

• We are provided with a sequence that follows a certain pattern and we have to identify that pattern and predict the next term according to that pattern.
• Observe

        1 + 1 ³ = 1 + 1 = 2

        2 + 2³ = 2 + 8 = 10

       10 + 3³ = 10 + 27 = 37

       37 + 4³ = 37 + 64 = 101

• Clearly, for every term, the cube of its position is added to its preceding term, like for the 3rd position the cube of 3 is added to its preceding term 10, and similarly, for the 4th position, the cube of 4 is added to its preceding term 37.
• In the same way for the 5th position take the cube of 5 and add to its preceding term

        101 + 5³ = 101 + 125 = 226

       

Therefore the required next term will be 226