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write an equation for the nth term of the geometric sequence 896, -448, 224... find the 8th term of this sequence.​

User Kion
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1 Answer

4 votes

Answer:

-7

Explanation:

nth term of a geometric sequence is given by ar^(n-1),

where a is first term, r is the common ratio.

a = 896. ratio = -448/896 = - 0.5.

8th term = (896) (-0.5)^(8-1)

= (896) (-0.5)^7

= -7