Question

the second term and the fifth term in a geometric progression is 6 and 162 respectively. Find the first term and the common ratio of the progression. please help me to solve this.

Answer 1

\[a_2 = 6\]
\[a_5 = 162\]
\[a_2 = a*q\]
\[a_5 = a*q^4\]
\[a_5/a_2 = a*q^4/a*q\]
\[162/6 = q^3\]
\[27= q^3\]
\[9= q\]
\[a_2 = a*q\]
\[6 = a*9\]
a =?

Answer 2

ok thnks i got it ^_^

Answer 3

Anytime :)