Question

8) Find five numbers in G. P. such that their
product is 1024 and fifth term is square of the
third term.​

Answer 1

Answer:

1   2  4  8  16

1  -2  4  -8  16

Step-by-step explanation:

Find five numbers in G. P. such that their

product is 1024 and fifth term is square of the

third term.​

Let say 5 numbers in GP are

a , ar , ar² , ar³  ar⁴

fifth term is square of the  third term.​

=> ar⁴ = (ar²)²

=> ar⁴ = a²r⁴

=> a = a²

=> 1 = a

five numbers are

1 , r , r² , r³  r⁴

Products of  five number of GP

= 1 * r * r² * r³ *  r⁴

= r¹⁰

product is 1024

=> r¹⁰  = 1024

=> r = ±2

GP

1   2  4  8  16

1  -2  4  -8  16