R=√2 r= the number you times by to get to the next term a= 2 √2 a= the first term of the sequence What terms have you got/need to find? the 10th term nth term = arn-1 1 2 3 4. r= the number you times by to get to the next term a= the first term of the sequence What terms have you got/need to find? So what do we have: 1 2 3 4 ?, 4, ?, 8. Find the values of a) the common ration b) first term and c) the 10th term. The second term of a geometric sequence is 4 and the 4th term is 8. R= the number you times by to get to the next term Your check list You will need to find or use these: a= the first term of the sequence What terms have you got/need to find? The second term of a geometric sequence is 4 and the 4th term is 8. r= 5 a=2 ar ar2 ar3 arn-1 a This is the same for all geometric sequences How do we find the nth term? r= the number you times by to get to the next term a= the first term of the sequence 1 2 3 4 n Eg2, 10, 50, 250.
![geometric sequences geometric sequences](https://i.ytimg.com/vi/4q-izvXyFRU/maxresdefault.jpg)
r= x x x = 10 10 = -30 -30= 90 Common ratio =u2 u1 ‘Second term divided by the first’
![geometric sequences geometric sequences](https://showme1-9071.kxcdn.com/2020/11/29/22/aXKtE1Y_ShowMe_last_thumb.jpg)
![geometric sequences geometric sequences](https://i0.wp.com/raisemymarks.com/wp-content/uploads/2020/07/ArithmeticSequence-scaled.jpg)
This number is called the common ratio, r. Geometric Sequence A geometric sequence is one where to get from one term to the next you multiply by the same number each time.