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What is the first term of the geometric sequence presented in the table below? n 5 7 an 176 704 Hint: an = a1(r)n − 1, where a1 is the first term and r is the common ratio.
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What is the first term of the geometric sequence presented in the table below?

n 5 7
an 176 704


Hint: an = a1(r)n − 1, where a1 is the first term and r is the common ratio.

User Engincan Veske
by
8.2k points

1 Answer

1 vote
176 = a1 * r^4
704 = a1 * r^6

dividing:-

r^2 = 706/174 = 4 so r = +/- 2

a1 = 176 / 2^4 = 176/16 = 11

So 11 is the first term
User Eugene Burtsev
by
7.9k points
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