Answer:
88, 102, 116
Step-by-step explanation:
[tex]\bold{METHOD\ 1:}[/tex]
[tex]a_1=18\\\\a_2=18+14=32\\\\a_3=32+14=46\\\\a_4=46+14=60\\\\a_5=60+14=74\\\\a_6=74+14=88\\\\a_7=88+14=102\\\\a_8=102+14=116[/tex]
[tex]\bold{METHOD\ 2:}[/tex]
[tex]a_1=18\\\\a_2=18+14=32\\\\a_3=32+14=46\\\\a_4=46+14=60\\\\a_5=60+14=74\\\vdots\\\\\text{It's an arithmetic sequence with first term}\ a_1=18\\\text{and the common difference}\ d=14.\\\\\text{The explicit formula of an arithmetic sequence:}\\\\a_n=a_1+(n-1)d\\\\\text{Substitute:}\\\\a_n=18+(n-1)(14)\qquad\text{use the distributive property}\\\\a_n=18+14n-14\\\\a_n=4+14n[/tex]
[tex]\text{Substitute}\ n=6,\ 7\ \text{and 8}:\\\\a_6=4+14(6)=4+84=88\\\\a_7=4+14(7)=4+98=102\\\\a_8=4+14(8)=4+112=116[/tex]
