3 years ago

HELP ASAP Find the 15th term or the geometric sequence 7, -21, 63,

Mathematics

1 answer:

mihalych1998 [28]3 years ago

5 0

<h3><u>Answer:</u></h3>

33480783

<h2><u>Step-by-step explanation:</u></h2>

<u>Finding the Common Ratio:</u>

We know that the formula for the common ratio of a GP is:

r = aₙ / (aₙ₋₁) <em>(Where n is any integer)</em>

<em>replacing the values, taking n=2</em>

r = -21 / 7

r = -3

<u>Solving for the 15th Term:</u>

We know that the Formula for the nth term of a GP:

G(n) = a * r ⁿ⁻¹ <em>(where a is the first term and r is the common ratio)</em>

<em>replacing the values (taking n = 15 since we need the 15th term)</em>

G(15) = 7 * (-3)¹⁴

G(15) = 33480783

Hence, the 15th term of the given GP is 33480783

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