Question

4th term of a g.p. is 40 and the 10th term is 2560 find the 7th term ?

Answer 1

Hey there !!

Formula to find nth term of a G.P = arⁿ⁻¹

So 4th term =40 
  
 ⇒⇒ ar³=40

10th term =2560

⇒⇒⇒ar⁹=2560 

Now dividing ar⁹/ar³
           
ar⁹     2560
---- = ---------
ar³     40

r⁶ = 256/4

r⁶= 64
 
r⁶=2⁶

⇒⇒ r=2
 
ar³=40

a=40/r³

a=40/8=5

7th term = ar⁶= 5*2⁶=5*64=320.

Hope this helped you !!!

Answer 2

the 7th term is 320.

please mark as brainliest