Question

find the terms indicated in the following G.P's find the 7th term of 2,-1,1/2​

Answer 1

Step-by-step explanation:

first term = a = 2

second term = ar = -1

third term = 1/2

r = ar/a = ar^2/ar

$\frac{ - 1}{2} = \frac{ \frac{1}{2} }{ - 1} \\ - \frac{1}{2} = - \frac{1}{2}$

r = -1/2

a7 = a × r^(7-1)

$= a {r}^{6} \\ = 2 \times { ( - \frac{1}{2} )}^{6} \\ = 2 \times ( \frac{ {1}^{6} }{ {2}^{6} } ) \\ = {2}^{1} \times {2}^{ - 6} \\ = {2}^{1 - 6} \\ = {2}^{ - 5} \\ = \frac{1}{ {2}^{5} } \\ = \frac{1}{64}$

hope you get your answer