Question

EXAMPLE 5 Find the eighth term of a geometric progression whose
first five terms are
162, 54, 18, 6 and 2.
ratio of any term.
​

Answer 1

Answer:

13122

Step-by-step explanation:

geometric progression:

A progression of a number with a constant ratio between each number and the one before ...

in simple ...

{a,b,c,d,....} are in geometric progression(g.p)

then

b÷a=r (constant)

c÷b=r

d÷c=r

I.e ratio is same

then let's find..

we want to right term of the given series

{2,6,18,54,162,...} this are in g.p

then

a=2 (first term)

r=common ration = 6÷2 = 3

therefore the 8 th term is

a×r raised to power of 8 = 2×3 raised to power of 8 =

2×6561= 13122

so the eight term of this series is

13122

also prefer the image which i send