Question

if gp 3/625,3/125,3/25..... and gp 1875,625,125..... have nth terms equal find n and nth term​

Answer 1

Answer:

Find an answer to your question if the g. p 3/625,3/125,3/25 g. p 1875 ,625125, have their nth term are equal. find the n ..

Answer:I think the question is wrongStep-by-step explanation:I donow

Answer 2

2nd sequence is not in GP. So nth term and n can not be determined.

Step-by-step explanation:

nth term of a sequence in geometric progression is calculated as:

$T_{n}=\text{a}r^{n-1}$

where

a→ first term in the sequence

r→ common ratio

n→ number of terms in the sequence

For a sequence to be in geometric progression, the consecutive terms should have common ratio.

i.e the quotient of  $\frac{T2}{T1}=\frac{T3}{T2}=\frac{T4}{T3}$

In sequence one,

$\frac{T2}{T1}=\frac{T3}{T2}$

$\frac{\frac{3}{125} }{\frac{3}{625} }=\frac{\frac{3}{25} }{\frac{3}{125} }=\frac{1}{5}$

But in sequence two,

$\frac{T2}{T1}=\frac{T3}{T2}$

$\frac{625}{1875}\neq \frac{125}{625}$

$\frac{1}{3}\neq \frac{1}{5}$

Therefore the second sequence is not in GP and hence the value of nth term and the number of terms can not be calculated.

For more details refer,

For each geometric progression find the common ratio ‘r’, and then find an(i) 3, 3/2, 3/4, 3/8, ......... (ii) 2, −6, 18, −54(iii) −1, −3, −9, −18 .... (iv) 5, 2, 4/5, 8/25, .........

https://brainly.in/question/5483880

In a geometric progression the 4th term is 8 and the 8th is 128/625.Find the Geometric progression. ​

https://brainly.in/question/14415968