Question

The 4th term of g.P is square of ts second term and the first term is -3 then 7th term of the g,p is ?

Answer 1

Answer:

Step-by-step explanation:

Let say GP

a  ar  , ar² , ar³  .....

where a = -3  and r is common ration

4th term = ar³

2nd term = ar

4th term of g.P is square of its second term

ar³ = (ar)²

ar³ = a²r²

r = a

r = -3  

7th term of GP = $ar^{(n-1)}$

$= (-3)(-3)^{(7-1)}\\= (-3)(-3)^6\\= (-3)^7\\= - 2187$