If the 2nd term of a G.P is 89 8 9 and the 6th term is 412 1 2 . Find the common ratio.

Question 1 Report

If the 2nd term of a G.P is $\frac{8}{9}$ and the 6th term is 4 $\frac{1}{2}$ . Find the common ratio.

\frac{3}{2}

\frac{2}{3}

Answer Details

T2 = $\frac{8}{9}$ , T6 = 4 $\frac{1}{2}$
ar = $\frac{8}{9}$
ar5 = $\frac{9}{2}$
$\frac{a r}{a r^{5}}$ = $\frac{8}{9}$ x $\frac{2}{9}$
$\frac{1}{r^{4}}$ = $\frac{16}{81}$
r = $\sqrt[4]{\frac{81}{16}}$ = $\frac{3}{2}$

Read lesson note on Sequence And Series (WAEC)

Sequence And Series

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