Question

consider the arithmetic sequence 6,14,22.
a) what is the common
difference.
b) what is its 7th term.​

Answer 1

Step-by-step explanation:

6,10,14,....

Since t

2

−t

1

=t

3

−t

2

Common difference, d=10−6=4

First term a=6

S

n

=

2

n

2a+(n−1)d=

2

n

2×6+(n−1)4=

2

n

12+4n−4=

2

n

4n+8

=n(2n+4)

2n

2

+4n