Question

An = 3n2 + 4n +5
find the first 5 terms of the following sequence

Answer 1

`a_1=12\,,\ \ a_2=25\,\ \ a_3=44\,,\ \ a_4= 69\,,\ \ a_5= 100`

Explanation:

`a_1 = 3\cdot1^2+4\cdot1+5= 3+4+5=12\\\\a_2= 3\cdot2^2+4\cdot2+5= 3\cdot4+8+5=25\\\\a_3= 3\cdot3^2+4\cdot3+5= 3\cdot9+12+5=44\\\\a_4= 3\cdot4^2+4\cdot4+5= 3\cdot16+16+5=69\\\\a_5= 3\cdot5^2+4\cdot5+5= 3\cdot25+20+5=100`