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3 years ago

Find an equation for the nth term of a geometric sequence where the second and fifth terms are -2 and 16, respectively.

Mathematics

2 answers:

VladimirAG [237]3 years ago

8 0

Answer: an= 1*(-2)^n-1

Tju [1.3M]3 years ago

4 0

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>

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