what is the 100th term on the following sequence : 25 , 36 , 49 , 64 ,
Do you see a pattern in the numbers of the sequence?
Nope :lol
Those four numbers don't look familiar at all?
Mmmm..... nope *Thoguht Hard*
I'll give you a hint. The first one is five times five.
Oooooooo . Then 6*6 Ect ...
Right. They're perfect squares.
But the answeres Choices is 10,404 10,609 , 10,816 11,025
You need the 100th term of the sequence. How could you describe the 100th term of the sequence?
Mmm... x*x = 1000
What? No. The first term of the sequence is 5*5, the second is 6*6, the third is 7*7, the hundredth is ...?
\[ 5^2, 6^2,7^2, 8^2, \cdots 104^2 , \cdots \]
104 ^2 = 10,816 and were did 104 come from ?
\[ 104-5+1 =100 \]
That's what I'm trying to get you to figure out. You need to look at the pattern. Your first term is 5^2, your second term is 6^2, your third term is 7^2, why is the hundredth term 104^2?
6-5+1=2 is the second 7-5+1= 3 is the third 104-5+1=100 is the 100th
\[ 1:5^2\\ 2:6^2\\ 3:7^2\\ 4:8^2\\ 100:104^2 \]
The pattern for the \(n\)th term is \((n+4)^2\)
Okay ill Study It *Snaped a Shoot of how to do it *
.. Thanks
Join our real-time social learning platform and learn together with your friends!