Question

Write the next term of sequence √8, √18, √32, ....................

Answer 1

The next term of the sequence can be found by observing the pattern in the numbers under the square root.

If we take the numbers inside the square root and subtract them consecutively, we get the sequence 8, 10, 14, ...

Now, let's find the pattern in this new sequence. We can observe that each term is obtained by adding 2 to the previous term.

So, continuing this pattern, the next term in the sequence would be 14 + 2 = 16.

Therefore, the next term of the sequence is
`\displaystyle\sf √(16)`.