Question

Using inductive reasoning, what is the next two numbers in this set?

1,-7,13,-19
I got the numbers 14,-26
is that right?

Answer 1

Answer: 25 and -31

Step-by-step explanation: Notice that if all the negatives were positive, you'd have the arithmetic sequence one, 7, 13, 19, on and on, adding vi each time. therefore essentially we have a geometrical and arithmetic sequence combined, with the geometric sequence creating it positive, and negative, and also the arithmetic sequence adding vi each time. this suggests the answer(s) are twenty-five and -31.

Answer 2

25 and -31

Explanation:

Notice that if all the negatives were positive, you would have the arithmetic sequence 1, 7, 13, 19, on and on, adding 6 every time. So basically we have a geometric and arithmetic sequence combined, with the geometric sequence making it positive, and negative, and the arithmetic sequence adding 6 every time. This means the answer(s) are 25 and -31.