Ihave to
position value of term
1 7
2 10
3 13
4 16
5 19
6 22
which expression gives the number in the nth position in the sequence?
a) 2n - 2
b) 3n + 4
c) 4n - 1
d) 5n

Option B is correct

3n+4[/tex]

Step-by-step explanation:

The nth term for the arithmetic sequence is given by:

             ....[1]

where,

is the nth position

n is the number of term

is the first term and

d is the common difference.

Given the table:

Position(n)  Value of Term()

1                     7

2                     10

3                     13

4                     16

5                     19

6                     22

from the given table:

At n = 1 ,

At n = 2

at n = 3

and so on

Common difference(d) for the sequence is  3

Since,

⇒

Substitute d = 3 and in [1] we have;

⇒

⇒

Therefore, the expression gives the number in the nth position in the sequence is,

x+3=9, k+22=29, x+5=7, x+7=10, x+6=11

y-5=8, p-18=3, 12-x=1, x-4=1, x-5=8

Step-by-step explanation: