Question 834538
What Are The Next Three Terms In 6,7,13,20,33 
<pre>
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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<pre>What Is the 17th term in 2,6,18,54</pre>That's a geometric sequence with {{{a[1]=1}}} and {{{r=3}}}, {{{n=17}}}

{{{a[n]}}}{{{""=""}}}{{{a[1]r^(n-1)}}}

{{{a[17]}}}{{{""=""}}}{{{(2)(3)^(17-1)}}}

{{{a[17]}}}{{{""=""}}}{{{(2)(3)^(16)}}}

{{{a[17]}}}{{{""=""}}}{{{(2)(43046721)}}}

{{{a[17]}}}{{{""=""}}}{{{86093442}}}

------------------------------------</pre>What is the 50th term in 2,9,16,23<pre>That's an arithmetic sequence with {{{a[1]=2}}}, {{{d=7}}}, and {{{n=50}}}

{{{a[n]}}}{{{""=""}}}{{{a[1]+(n-1)d}}}

{{{a[50]}}}{{{""=""}}}{{{2+(50-1)7}}}

{{{a[50]}}}{{{""=""}}}{{{2+(49)7}}}

{{{a[50]}}}{{{""=""}}}{{{345}}}

Edwin</pre>