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Write an equation for the nth term of the geometric sequence. Then find the 7th term. 2,-6,18,-54,...

User Wildaker
by
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1 Answer

3 votes

soln,

from the series,

a = 2

t2 = -6

r = t2/a


= ( - 6)/(2)

= -3

therefore, tn =


{ar}^(n - 1)


= {2 * - 3}^(n - 1)

now,

seventh term =


{2 * - 3}^(7 - 1)


= {2 * - 3}^(6)


= 2 * 729


= 1458

User Ellic
by
7.9k points

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