Question

Write the first five terms of each of the following sequences whose nth terms are:

(i) $a_n=3n+2$
(ii) $a_n=\frac{n-2}{3}$
(iii) $a_n=3^n$
(iv) $a_n=\frac{3n-2}{5}$
(v) $a_n=(-1{)}^n,2^n$
(vi) $a_n=\frac{n(n-2)}{2}$
(vii) $a_n=n^2-n+1$
(viii) $a_n=-2n^2-3n+2$
(ix) $a_n=\frac{2n-3}{6}$

Answer 1

(i) =
for, n=1
= 3+2 = 5
for n=2
= 6+2 = 8
for n=3
= 9+2 =11
for n = 4
=12+2 = 4
for n=5
=15+2=17

(ii) =
for, n=1
=
for n=2
=
for n=3
=
for n = 4
=
for n=5
=

(iii) =
for, n=1
= =3
for n=2
=
for n=3
=
for n = 4
=
for n=5
=

(iv)
=
for, n=1
=
for n=2
=
for n=3
=
for n = 4
=
for n=5
=

(v) =
for, n=1
= -2
for n=2
=4
for n=3
= -8
for n = 4
=16
for n=5
= -32

(vi)=
for, n=1
=
for n=2
=
for n=3
=
for n = 4
=
for n=5
=

(vii) =
for, n=1
= 1-1+1=1
for n=2
= 4-2+1 = 3
for n=3
= 9-3+1=7
for n = 4
=16-4+1=13
for n=5
=25-5+1=21

(viii)
=
for, n=1
= -2-3+2= -3
for n=2
= -8-6+2 = -12
for n=3
= -18-9+2= -25
for n = 4
= -32-12+2= -42
for n=5
= -50-15+2= -63

(ix) =
for, n=1
=
for n=2
=
for n=3
=
for n = 4
=
for n=5
=