+0  
 
0
86
1
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86, 116, 153, ... 

(86+30=116, 116+37=153. pattern continues like this with the number being added increasing by 7 each time.)

 

find the 30th term 

 Mar 3, 2023
 #1
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0

Your sequence should continue like this:

 

86, 116, 153, 197, 248, 306, 371, 443, 522, 608, 701, 801, 908, 1022, 1143, 1271, ...etc.

 

The "closed form" of the sequence is:

 

a(n)= 1/2 (7 n^2 + 39 n + 126) (for any term)

 

a(30) ==1/2 * (7*30^2  + 39*30  + 126)

 

a(30) ==3,798

 Mar 4, 2023

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