Step-by-step explanation:
General Formula : An = 7(n) - 5
n = 1
A1 = 7(1) - 5
A1 = 7 - 5
A1 = 2
n = 2
A2 = 7(2) - 5
A2 = 14 - 5
A2 = 9
n = 3
A3 = 7(3) - 5
A3 = 21 - 5
A3 = 16
The sequence is 2, 9, 16 ....
Second term - first term = Common difference
or
Third term - second term = Common difference
Substitute :
9 - 2 = 7
16 - 9 = 7
So the common difference is absolutely 7
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Answers & Comments
Step-by-step explanation:
General Formula : An = 7(n) - 5
n = 1
A1 = 7(1) - 5
A1 = 7 - 5
A1 = 2
n = 2
A2 = 7(2) - 5
A2 = 14 - 5
A2 = 9
n = 3
A3 = 7(3) - 5
A3 = 21 - 5
A3 = 16
The sequence is 2, 9, 16 ....
Second term - first term = Common difference
or
Third term - second term = Common difference
Substitute :
9 - 2 = 7
or
16 - 9 = 7
So the common difference is absolutely 7