Final answer:
The value of the next term in the given sequence is 39.0625.
Step-by-step explanation:
To get to the next term in this sequence, you need to multiply the last term by 2.5. So, if we start with the sequence 1, 2.5, 6.25, 15.625, the next term would be 15.625 x 2.5 = 39.0625. Therefore, the value of the next term is 39.0625.