6, 13, 26, 45, 70, ..
a(n) = 3n^2 - 2n + 5
a(6)
= 108 - 12 + 5
= 101
a(n) = 3n^2 - 2n + 5
a(6)
= 108 - 12 + 5
= 101
-
6,,,,,,,,13,,,,,,,26,,,,,,,,45,,,,,,,70,… ------> (1)
,,,,,7,,,,,,,,,13,,,,,,,19,,,,,,,,25,,,… -------> (2)
,,,,,,,,,,6,,,,,,,,,,6,,,,,,,,,6,,,,,,,… -------> (3)
difference in the terms in (1) is (2)
difference in the terms in (2) is 6
so adding 6 to 25 = 25+6 = 31
adding 31 to 70 = 70+31 = 101
Ans is 101
,,,,,7,,,,,,,,,13,,,,,,,19,,,,,,,,25,,,… -------> (2)
,,,,,,,,,,6,,,,,,,,,,6,,,,,,,,,6,,,,,,,… -------> (3)
difference in the terms in (1) is (2)
difference in the terms in (2) is 6
so adding 6 to 25 = 25+6 = 31
adding 31 to 70 = 70+31 = 101
Ans is 101
-
101.
6+7+6*0=13
13+7+6*1=26
26+7+6*2=45
45+7+6*3=70
70+7+6*4=101
6+7+6*0=13
13+7+6*1=26
26+7+6*2=45
45+7+6*3=70
70+7+6*4=101