Answer:
45 / 6
Step-by-step explanation:
<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
No because 26 isn’t in the multiples of three