<span>B. 3/7, 18/42
This work, because you multiply 6 top and bottom
hope this helps</span>
Given :-
- First term of an AP is -17 .
- Common difference is 5 .
To Find :-
- The formula for the nth term .
Solution :-
We know that the nth term of an AP is given by ,
where ,
- a is the First term .
- n is the number of the term .
- d is the common difference .
- T_n is the nth term .
On substituting the respective values we have ,

Open the brackets ,
Simplify ,
<u>Hence</u><u> the</u><u> </u><u>nth </u><u>term</u><u> of</u><u> </u><u>the</u><u> </u><u>AP </u><u>is </u><u>given</u><u> </u><u>by </u><u>5</u><u>n</u><u> </u><u>-</u><u>2</u><u>2</u><u>.</u>
<em>I </em><em>hope</em><em> this</em><em> helps</em><em>.</em>
There are 24 ways in which 5 guys can sit if arranged from oldest to youngest.
We have,
Five guys.
Now,
We know that,
Total number of ways to arranged around a table (n) = (n-1)!
So,
For n = 5,
I.e.
(n - 1)! = (5 - 1)! = 4!
So,
Total number of ways to arranged Five guys rom oldest to youngest (n) = (n-1)!
i.e.
= (5 - 1)! = 4!
We get,
= 4 × 3 × 2 × 1
i.e.
Total number of ways to arranged Five guys rom oldest to youngest (n) = 24.
Hence we can say that there are 24 ways in which 5 guys can sit if arranged from oldest to youngest.
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-3 and -2 would be the answer I think
The amount in dollars that is in the account after 50 years expressed in power is; 2⁹
<h3>How to apply the rule of exponents?</h3>
We are told that the money doubles in value after every 10 years.
When the account was opened it had 2⁴ dollars in it and after 50 years it has doubled 5 times. The doubling increased by a factor of 2⁵ and is now has a balance of 2⁴ × 2⁵.
Using the rule of exponents, we have;
2⁴ × 2⁵ = 2⁹
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