Exciting Math Problems to Solve!

What are the next consecutive terms in the sequence 2, 5, 10, 17, 26, ...?

A. 37, 50
B. 37, 47
C. 32, 43
D. 39, 54

Answer:

The correct answer is option A. 37, 50.

To find the next consecutive terms in the sequence, we need to identify the pattern. By observing the sequence, we can see that the numbers are increasing by consecutive odd numbers (3, 5, 7, 9, ...). Therefore, the next consecutive terms in the sequence after 26 would be 26 + 11 = 37 and 37 + 13 = 50.