Question

What is the 7th term in the geometric sequence described by this explicit formula?an = –3 • (3)(n – 1)

Answer 1

Answer:

7th term is -2187

Step-by-step explanation:

Nth term of the geometric sequence is given by

$a_n = a_1(r)^{n-1}$

where a1 is the first term and 'r' is the common ratio

$a_n = -3(3)^{n-1}$

a1=-3 and r=3

7 th term of the geometric sequence is

$a_7 = a_1(r)^{6}$

replace the values of a1 and 'r'

$a_7 = -3(3)^{6}$

a_7=-2187

Answer 2

Answer:

7th term = -2187

Step-by-step explanation:

The formula for nth term of a geometric sequence is given by:

$a_n=a*r^{n-1}$

Where

• a is the first term,
• r is the common ratio,
• n is the nth term (term number)

Since the question gives us the formula and wants to know 7th term, we just plug in 7 into n:

$a_n=(-3)*(3)^{n-1}\\a_n=(-3)*(3)^{7-1}\\a_n=(-3)*(3)^6\\a_n=-2187$