First, we are going to find the common ratio of our geometric sequence using the formula:

. For our sequence, we can infer that

and

. So lets replace those values in our formula:


Now that we have the common ratio, lets find the explicit formula of our sequence. To do that we are going to use the formula:

. We know that

; we also know for our previous calculation that

. So lets replace those values in our formula:

Finally, to find the 9th therm in our sequence, we just need to replace

with 9 in our explicit formula:



We can conclude that the 9th term in our geometric sequence is <span>
1,562,500</span>
Answer:
116 cm²
Step-by-step explanation:
Shaded Area = area of the larger circle - area of the smaller circle
Area of the larger circle = πr²
Where,
r = 6.5 cm
Area = π*6.5² = 42.25π cm²
Area of smaller circle = πr²
Where,
r = 2.3 cm
Area = π*2.3² = 5.29π cm²
✔️Shaded area = 42.25π - 5.29π = 36.96π = 116.113264
Area = 116 cm² (3 S.F)