Given:
Sequence 7, 13,19, 25, 31........
Find-:
The next term
Explanation-:
First-term = 7
Let
[tex]a_n=a_{n-1}+6[/tex]
Because sequence value increases the net term should be added.
So,
[tex]\begin{gathered} a_n=a_{n-1}+6 \\ \\ a_2=a_{2-1}+6 \\ \\ a_2=a_1+6 \\ \\ a_2=7+6 \\ \\ a_2=13 \end{gathered}[/tex]
For the next value n is 6.
So,
[tex]\begin{gathered} a_n=a_{n-1}+6 \\ \\ a_6=a_{6-1}+6 \\ \\ a_6=a_5+6 \\ \\ a_6=31+6 \\ \\ a_6=37 \end{gathered}[/tex]
So,
[tex]a_n=a_{n-1}+6,\text{ where}a_1=7;37[/tex]
