Write the first 4 terms of the following formula, start with n = 1.
Given sequences are:-
"1. a_n=5n\\\\"
at n=1, "a_1=5"
Similarly "a_2=10, a_3=15, a_4=20"
First four terms are "5,10, 15, 20."
2."nbn = 3!bn = 3n bn = 3n^2 +2n - 6"
at n=1
First term is "3(1)^2+2(1)-6=-1"
Similarly other terms at "n=2,3,4" are "10,27,50"
First four terms are "-1,10,27,50"
3."g_n=1\\times2..\\times n"
at n=1, "g_1=1"
Similarly at n=2,3,4
"g_2=2,g_3=6,g_4=24"
First four terms are "1,2,6,24"
4."c_1=2.5, c_n=c_{n-1}+1.5"
at n=2, "c_2=c_1+1.5=2.5+1.5=4"
at n=3, "c_3=c_2+1.5=4+1.5=5.5"
at n=4, "c_4=c_3+1.5=5.5+1.5=7"
First four terms are "2.5,4,5.5,7"
5."d_1=-3,d_n=-2d_{n-1}+1"
at n=2, "d_2=-2d_1+1=-2(-3)+1=7"
at n=3, "d_3=-2d_2+1=-2(7)+1=-13"
at n=4, "d_4=-2d_3+1=-2(-13)+1=27"
First Four terms are "-3, 7, -13,27"
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