Hello : <span>the nth term of a geometric sequence is : Un = Up ×r^(n-p) . r is the common ratio for : p=5 and n= 2 U5 = U2 ×r^3 16 = -2 r^3 r^3 = -8 but : -8 = (-2)^3 so : r = -2 Un = U2 × r^(n-2) Un = -2 ×(-2)^(n-2)= (-2)^(n-2+1)
</span><span>the nth term of a geometric sequenceis : Un = (-2)^(n-1)</span>