Question

Find the 11th term in the geometric sequence

Answer 1

find the 11th term in The geometric sequence in which \[a _{3}\] is 24 and \[a _{5}\] is 96

Answer 2

@ganeshie8

Answer 3

there are two ways to solve this,
first method involves finding the common difference and first term

Answer 4

\(\large a_3 = a r^2 = 24\)

\(\large a_5 = a r^4 = 96\)

Answer 5

can u solve those two equations and find a, r values ?

Answer 6

no...

Answer 7

ok let me show u how to solve,
take \(\large \frac{a_5}{a_3} \)

\(\large \frac{ar^4}{ar^2} = \frac{96}{24}\)

\(\large \frac{\cancel{a}r^4}{\cancel{a}r^2} = 4\)

\(\large r^2 = 4\)

\(\large r = ?\)

Answer 8

once you have r, find a also
then use the nth term formula for geometric sequence

Answer 9

try...

Answer 10

r=2?

Answer 11

@ganeshie8