Answer:
Step-by-step explanation:
Given:
Fifth term of a geometric sequence = 
Common ratio (r) = ¼
Required:
Formula for the nth term of the geometric sequence
Solution:
Step 1: find the first term of the sequence
Formula for nth term of a geometric sequence = 
, where:
a = first term
r = common ratio = ¼
Thus, we are given the 5th term to be ¹/16, so n here = 5.
Input all these values into the formula to find a, the first term.
Cross multiply
Divide both sides by 16
Step 2: input the value of a and r to find the nth term formula of the sequence
nth term =
nth term = 
Answer: 2
Step-by-step explanation:
2.1 is the same as 21/10
which will give 2
Let us assume number of n.
The number is decreased by 15.
Decreasing by 15 means, we need to subtract 15 from that number.
So, it would be come n-15.
Now, it is said that the number would become less than 2.
So, we need to setup an inequality:
n-15 is less than 2.
<h3>n-15 < 2 : required inequality .</h3>
Adding 15 on both sides, we get
n-15+15 < 2+15
n < 17.
<h3>So, we could say the number would be less than 17.</h3>
First lets see how much room there is for holding video games.
There are 3 shelves that can hold 40 video games each, that is:
3*40 = 120
so we can hold 120 video games total.
If now there are 85 video games, how many we can hold still? That is:
120 - 85 = 35
So we still can hold 35 more video games.
