Arithmetic, Quadratic, Geometric & Cubic Sequences

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Fine effectively nth term formula of Arithmetic, Quadratic, Geometric & Cubic Sequences
nth Term Formula in Sequences
Arithmetic sequences
Find the common differences
Find the value of a, & b. a = 1st difference & a+b= 1st term’s value
a= coefficient of n, b = constant figure an+b
6, 10, 14, 18, 22
nth term formula 4n+2
22,15, 8, 1, -6
5.5, 7, 8.5, 10, 11.5
nth term formula = 1.5n+4
Find 1st & 2nd common differences
Find the value of a, b & c . 2a = 2nd difference, 3a+b= 1st difference & a+b+c= 1st term’s value
a= coefficient of n2, b= coefficient of n & c= constant figure “an2+bn+c”
Which of sequence is equal to 71.5?
Quadratic sequences
1, 4, 9, 16
9, 16, 25, 36
nth term formula == n2+4n+4
4, 19, 40, 67
nth term formula =3n2+6n-5
Geometric sequences
2, 4, 8, 16, 32
nth term formula = a1(r) n-1
Which of sequence is equal to 64?
Cubic sequences
Find 1st , 2nd & 3rd common differences. Find the value of a, b, c & d .
6a = 3rd difference, 12a+2b= 2nd difference, 7a+3b+c = 1st difference & a+b+c+ d= 1st term’s value add values in “an3+bn2+cn+d”
n3+5n+7