Question

Find the 6th term of the sequence with t1 = -4 and tn = 5tn-1.

-12,500

-2500

-62,500

-50,000

Answer 1

\[r=\frac{ t _{n} }{ t _{n-1} }=5\]
\[t _{k}=t _{1}\left( r \right)^{k-1}\]
put k=6 and calculate

Answer 2

@sshayer can you explain please?

Answer 3

\[t _{6}=-4\left( 5 \right)^{6-1}=-4*5^5=-4 \times 3125=-12500\]