3,4.5,6.75,10.125... what is the inductive reasoning?
To identify the inductive reasoning pattern in the given sequence (3, 4.5, 6.75, 10.125...), we need to observe the differences between consecutive terms.
By calculating the differences between each term, we can determine the pattern:
4.5 - 3 = 1.5
6.75 - 4.5 = 2.25
10.125 - 6.75 = 3.375
We can observe that the differences form the pattern of multiplying each term by 1.5:
1.5 * 1.5 = 2.25
2.25 * 1.5 = 3.375
Now, let's continue the pattern to find the next term:
3.375 * 1.5 = 5.0625
Therefore, the next term in the sequence is 5.0625.
In summary, the inductive reasoning pattern in the given sequence is that each term is obtained by multiplying the previous term by 1.5.