Question

Find the 12th term of the geometric sequence 7, -35, 175

Answer 1

Answer:

$a_{12}= -341,796,875$

Step-by-step explanation:

Given geometric sequence is: 7, -35, 175

$a_1= 7$

$r= \frac{-35}{7}=-5$

n = 12

nth term of a geometric sequence is given as:

$a_n= ar^{n-1}$

Plug the values of a, r and n in the above equation, we find:

$a_{12} = 7\times (-5)^{12-1}$

$a_{12}= 7\times (-5)^{11}$

$a_{12}= 7\times -48,828,125$

$\purple {\bold {a_{12}= -341,796,875}}$