Find the missing term of the geometric sequence.

1,250,_______, 50, ...

Question

Find the missing term of the geometric sequence.

1,250,_______, 50, ...

parthkohli · Answer

The common ratio is 5..

parthkohli · Answer

You multiply 50 with 50 to get the missing term.

parthkohli · Answer

No, wait, 50 with 5.

parthkohli · Answer

The common ratio is 5 then.

parthkohli · Answer

50:x=x:1250

x^2 = 50 * 1250
x^2 = 62500
x = 250

parthkohli · Answer

Get it?

parthkohli · Answer

Common ratio means that(a common generalisation)

$\Large \color{purple}{\rightarrow a_{n -1}:a_{n}:: {a_n}:a_{n + 1} }$

anonymous · Answer

Thanks

campbell_st · Answer

well you know the 3rd term and 1st term

use thie to find the common ratio

$$50 = 1250r^2$$

$$r^2 = \frac{50}{1250}$$

the common ratio is 

$$r = \frac{1}{5}$$

then use 

$$T _{2}= 1250 \times (\frac{1}{5})^{2-1}$$

anonymous · Answer

the answer is 250

parthkohli · Answer

Yes, yes, common ratio is actually 1/5... but the answer is correct.

campbell_st · Answer

lol... parth's solution needs a bit or work...

parthkohli · Answer

Common ratio = Ratio of previous term to the current term

parthkohli · Answer

@campbell_st ?

campbell_st · Answer

the common ratio is.... 

$$\frac{T _{2}}{T _{1}} = \frac{T _{3}}{T _{2}}=\frac{T _{4}}{T _{3}}...$$

anonymous · Answer

@campbell_st is his answer right?

campbell_st · Answer

the 2nd term is 250    1250 x 1/5

anonymous · Answer

that = 250