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>
Answer:
7
Step-by-step explanation:
28x7=196
196=14^2 aka a perfect square
Answer:
2nd friend heading west
Step-by-step explanation:
This is actually pretty easy to explain.
You and a friend are near a tree and decide to walk away from it. At the beggining you walked 15 yards and your friend too, and then, there's the turn of event. You walked 8 yards toward north east, and your friend 8 yards towards south west.
The key to know which is further from the tree is the angle of turning of both. We need to calculate the component in x from both persons, and then, add it to the previous 15 yards. This way we will know who is further.
Let's begin with the 1°, the one who's heading east:
X = 15 + 8 cos45° = 20.66 yards
Now the friend heading west:
X = 15 + 8 cos40° = 21.13 yards
With these results we can conclude that the 2nd friend is further from the tree.
Hope this helps