Question

If r=-3 and t6=1701 find value of a

Answer 1

Answer:

-7

Step-by-step explanation:

Here, 6th term  of a G.P. with Common Ratio r is given by t6

Given that the G.P. series has Common Ratio r=-3 and it's 6th term t6= 1701 and we have to calculate the value of 1st term a.

An G.P. series with first term a and common ratio r is given by..

a, ar, ar², ar³.........upto n th term

So, it is clear from above series, the 6 th term will be

$ar^{5}$ =1701 {Since, the 6 th term is given to be 1701}

⇒a=$\frac{1701}{r^{5}}$

⇒a= $\frac{1701}{(-3)^{5}}$

{Since, the value of r= -3}

⇒a= $\frac{1701}{-243}$

⇒a= -7 (Answer)