SOLUTION: What Are The Next Three Terms In 6,7,13,20,33 What Is The 17th term in 2,6,18,54 What is the 50th term in 2,9,16,23

Algebra ->  Sequences-and-series -> SOLUTION: What Are The Next Three Terms In 6,7,13,20,33 What Is The 17th term in 2,6,18,54 What is the 50th term in 2,9,16,23      Log On


   



Question 834538: What Are The Next Three Terms In 6,7,13,20,33
What Is The 17th term in 2,6,18,54
What is the 50th term in 2,9,16,23

Answer by Edwin McCravy(20056) About Me  (Show Source):
You can put this solution on YOUR website!
What Are The Next Three Terms In 6,7,13,20,33
1st+2nd=3rd
2nd+3rd=4th
3rd+4th=5th
4th+5th=6th, etc.

 6+ 7=13
 7+13=20
13+20=33
20+33=53
33+53=86
53+86=139

1, 6, 7, 13, 20, 33, 53, 86, and 139

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What Is the 17th term in 2,6,18,54
That's a geometric sequence with a%5B1%5D=1 and r=3, n=17
a%5Bn%5D%22%22=%22%22a%5B1%5Dr%5E%28n-1%29
a%5B17%5D%22%22=%22%22%282%29%283%29%5E%2817-1%29
a%5B17%5D%22%22=%22%22%282%29%283%29%5E%2816%29
a%5B17%5D%22%22=%22%22%282%29%2843046721%29
a%5B17%5D%22%22=%22%2286093442
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What is the 50th term in 2,9,16,23
That's an arithmetic sequence with a%5B1%5D=2, d=7, and n=50

a%5Bn%5D%22%22=%22%22a%5B1%5D%2B%28n-1%29d

a%5B50%5D%22%22=%22%222%2B%2850-1%297

a%5B50%5D%22%22=%22%222%2B%2849%297

a%5B50%5D%22%22=%22%22345

Edwin