Answer:
a₂₇ = -81
Step-by-step explanation:
Given that,
The first term of an AP is, a₁ = 49
8th term of the AP, a₈ = 14
nth term of an AP is given by :
[tex]a_n=a_1+(n-1)d\\\\a_8=49+7d\\\\14=49+7d\\\\7d=-35\\\\d=-5[/tex]
27th term of the AP is given by :
[tex]a_{27}=a_1+26d\\\\=49+26(-5)\\\\=-81[/tex]
So, 27th term of the AP is -81.
