Answer:
The next three terms in the sequence are: 25,31, 37
The required sequence is: 1, 7, 13, 19,25,31, 37
Step-by-step explanation:
We need to find the next three terms in the sequence 1, 7, 13, 19, ...
First we need to find the difference between the terms
If we observe:
First term ; 1
Second term is : 1+6 = 7
Third term is: 7+6 = 13
Fourth term is: 13+6 = 19
So adding 6 to previous term we can find the next term as observed by the pattern
Fifth term will be: 19+6 = 25
Sixth term will be: 25+6 = 31
Seventh term will be: 31+6 = 37
So, the next three terms in the sequence are: 25,31, 37
The required sequence is: 1, 7, 13, 19,25,31, 37
(approximately)