Answer:
The smallest possible value for x is
Step-by-step explanation:
we know that
The <u>Triangle Inequality Theorem</u>. states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side
so
The value of x must be greater than
so
If x must be a whole number
therefore
The smallest possible value for x is
Given:
and
where
.
To find:
The explicit formula for the given recursive formula.
Solution:
We know that recursive formula of an AP is:
Where, d is the common difference.
We have,
Here, d=9.
The first term of the AP is .
The explicit formula for an AP is:
Substituting and
, we get
Therefore, the required explicit formula for the given sequence is .