Question

Keisha made a conjecture about this sequence:

2, 4, 8, ...

Keisha’s conjecture: Since 8 is 2004-01-03-01-00-v2_files/i0020000.jpg, the pattern is to multiply the previous two elements together to get the next element. Therefore the next element would be 2004-01-03-01-00-v2_files/i0020001.jpg.

Evaluate Keisha’s reasoning and create a different conjecture for this sequence.

Answer 1

Keisha is multiplying 2 * 4 to get 8......her next step would be 8 * 4 = 32.

My conjecture would be your are multiplying every term by 2 to get the next term...this is a geometric sequence with a common ratio of 2
2 * 2 = 4......4 * 2 = 8.....8 x 2 = 16

Answer 2

thank you