Question

Find the sixth term of the

Answer 1

Answer:

$T_6 = 37.96875$

Step-by-step explanation:

Given

$a =5$

$r = \frac{3}{2}$

Required

Determine the 6th term

This is calculated as:

$T_n = ar^{n-1$

Where

$n = 6$

Substitute $n = 6$, $a =5$ and $r = \frac{3}{2}$

$T_6 = 5 * (\frac{3}{2})^{6-1$

$T_6 = 5 * (\frac{3}{2})^{5$

$T_6 = 5 * (\frac{243}{32})$

$T_6 = 5 * \frac{243}{32}$

$T_6 = \frac{5 *243}{32}$

$T_6 = \frac{1215}{32}$

$T_6 = 37.96875$