Answer:
4.5, -27, 162,-972, 5832
Step-by-step explanation:
The given recursive definition is,
This will form a geometric sequence with first term 4.5 and common ratio r=-6.
When n=2, we have:
When n=3, we get:
When n=4, we get:
When n=5, we get:
Therefore the first five terms are:
4.5, -27, 162,-972, 5832
We have to simplify %
This is a mixed fraction, with 56 as the whole number part and as the fractional part
Such a fraction can be simplified as:
Denominator of simplified fraction = Denominator of mixed fraction
and Numerator of simplified fraction = (Denominator of mixed fraction × Whole number) + (Numerator of simplified fraction)
⇒ Denominator of simplified fraction = 4
and Numerator of simplified fraction = (4 × 56) + (1)
⇒ Numerator of simplified fraction = 225
Hence, the mixed fraction in its simplest form is
