Answer
Next three terms are 0.93, 1.02, 1.21
nth term = 0.48 + 0.09n
Explanation
The number pattern given is
0.57, 0.66, 0.75, 0.84
We can see that there is a regular or common difference between the terms.
Common difference = (Next term) - (Previous term)
We can use any two consecutive terms to obtain the common difference.
Common difference
= 0.66 - 0.57
= 0.75 - 0.66
= 0.84 - 0.75
= 0.09
The next three terms can then be obtained by adding 0.09 to terms.
Fifth term = 0.84 + 0.09 = 0.93
Sixth term = 0.93 + 0.09 = 1.02
Seventh term = 1.02 + 0.09 = 1.21
And the rule for this number pattern will be
nth term = First term + (n - 1) (Common difference)
First term = 0.57
Common difference = 0.09
nth term = 0.57 + (n - 1) (0.09)
nth term = 0.57 + 0.09n - 0.09
nth term = 0.57 - 0.09 + 0.09n
nth term = 0.48 + 0.09n
Hope this Helps!!!
