Question

Complete the table and pattern. Determine the common difference. Write the explicit rule.

Answer 1

First term = 23 Common difference = 11

Explicit rule = 11n + 12

Explanation:

Lets find the common difference:-

d = 34 - 23 = 11

d = (56 - 34) / 2

= 22/2 = 11

this is an arithmetic sequence with common difference d = 11 and first term = 23

Explicit rule is a1 +(n - 1)d = 23 + 11(n-1)

= 11n + 12

Answer 2

the 2 blanks on the 3rd column would be 3 over 45

the blank over 56 would be 4

the blank next to 56 is 67

the one above 67 is 5

the one next to 5 would be 6

the one below 6 is 78

the one beside 78 is 89

i dont know the answer to the questions below the table.