a_3 is 45 and a_10 is 98415
Step-by-step explanation:
Given
a_1 = 5
a_2 = 15
First of all we have to calculate the common ratio of the sequence. The common ratio is the ratio between two consecutive terms of a geometric sequence.
So,

The explicit formula for geometric sequence is:

Putting the value of r and a_1

Putting n=3 in the explicit formula

Putting n=10 for tenth term

Hence,
a_3 is 45 and a_10 is 98415
Keywords: Geometric sequence, Explicit formula
Learn more about geometric sequence at:
#LearnwithBrainly
Answer:
$3960
Step-by-step explanation:
12% of $4,500 is 540.
Subtracting the 12% means taking away $540 from $4,500, which gives you $3960
Answer:
24
Step-by-step explanation:
:)
There is 4 cups in 1 quart.
Answer:
The answer to your question is y = 4/3x + 1/3
Step-by-step explanation:
Data
Point A = (2, 3)
Point B = (5, 7)
Process
1.- Calculate the slope
x1 = 2 y1 = 3
x2 = 5 y2 = 7
m = (y2 - y1)/(x2 - x1)
- Substitution
m = (7 - 3)/(5 - 2)
- Slope
m = 4/3
2.- Find the equation of the line
y - y1 = m(x - x1)
y - 3 = 4/3(x - 2)
y - 3 = 4/3x - 8/3
y = 4/3x - 8/3 + 3
y = 4/3x - 8/3 + 9/3
y = 4/3x + 1/3