i need help with my math homework

Question

2, 2, 4, 6, 10 _____ , _______ , ______

Answer 1

ANSWER: The next three numbers in the sequence are 16, 26, and 42

 

The sequence is arrived at by adding up the previous numbers. So 2 and 2 are the first digits. Add these together (2+2) to get 4 which will be the next number in the sequence. Move over to the second digit (2) and add this to the next digit (4) to get 6 which is the next number in the sequence. Keep carrying this pattern out. So the next number in the sequence will be the sum of the last two digits 10 and 6. 10+6=16 and this is the next number in the sequence. Here is the sequence carried out in this pattern:

 

2,2,4,6,10,16,26,42