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Find the 10th term of the geometric sequence. 4) a = -2187 and a₁ = 55​

User Lakeweb
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1 Answer

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Finall Answer:

The 10th term of the geometric sequence is 717,705.

Explanation:

To find the 10th term of a geometric sequence, we use the formula
\(a_n= a_1 \times
r^((n-1))\), where \(a_n\) is the nth term,
\(a_1\) is the first term, r is the common ratio, and n is the term number. Given that
\(a_1 = 55\) and \(a = -2187\),we need to determine the common ratio r.

First, we find the common ratio
\(r\)by using the formula
\(r = (a)/(a_1)\).Substituting the values,
\(r = (-2187)/(55) = -39\).

Next, to find the 10th term
(\(a_(10)\)), we use the formula
\(a_(10) = a_1 * r^((10-1))\). Plugging in the values, \(a_(10) = 55 * (-39)^9\), which results in \(a_(10) = 717,705\).

User Pranoti
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