Answer:
[tex]-7,-2,\:3,\:8,\:13,\:18[/tex]
Step-by-step explanation:
First Term
[tex]a_1=-7[/tex]
Second Term
[tex]a_n=a_{n-1}+5\\\\a_2=a_{2-1}+5\\\\a_2=a_1+5\\\\a_2=-7+5\\\\a_2=-2[/tex]
Third Term
[tex]a_3=a_{3-1}+5\\\\a_3=a_2+5\\\\a_3=-2+5\\\\a_3=3[/tex]
Fourth Term
[tex]a_4=a_{4-1}+5\\\\a_4=a_3+5\\\\a_4=3+5\\\\a_4=8[/tex]
Fifth Term
[tex]a_5=a_{5-1}+5\\\\a_5=a_4+5\\\\a_5=8+5\\\\a_5=13[/tex]
Sixth Term
[tex]a_6=a_{6-1}+5\\\\a_6=a_5+5\\\\a_6=13+5\\\\a_6=18[/tex]
All you are doing is just adding 5 to -7 to get the next term each time for 6 times!
