Given:
First term of an arithmetic sequence = 5
Second term = 3
To find:
The explicit formula for the given arithmetic sequence.
Solution:
We have,
First term: 
Second term: 
Common difference is



Now, the explicit formula for an arithmetic sequence is

where, a is first term and d is common difference.
Putting a=5 and d=-2, we get

It can also be written as


Here, n is an integer greater than or equal to 1.
Domain is the set of input values.
Therefore, the explicit equation is
or
and domain is all interest greater than or equal to 1.
Step-by-step explanation:
3y + x = 12
When y = 3, we have 3(3) + x = 12.
=> 9 + x = 12, x = 3.
Probability (Ball goes into hole) = 0.22388 or 22.388%
Step-by-step explanation:
Given:
Ball goes into hole = 15 times
Ball miss the hole = 52 times
Find:
Probability (Ball goes into hole)
Computation:
Total number of tries = 15 + 52
Total number of tries = 67
Probability (Ball goes into hole) = 15 / 67
Probability (Ball goes into hole) = 0.22388 or 22.388%