Step-by-step explanation:
The first differences being [tex]2, 4, 6, 8, 10,...[/tex] means
- 2 is the difference between the 1st and 2nd terms
- 4 is the difference between the 2nd and 3rd terms
- 6 is the difference between the 3rd and 4th terms
- 8 is the difference between the 4th and 5th terms
- 10 is the difference between the 5th and 6th terms
So,
If
The first term of the sequence is 2.
then
The second term of the sequence is [tex]2 + 2 = 4[/tex]
The Third term of the sequence is [tex]4 + 4 = 8[/tex]
The Fourth term of the sequence is [tex]8 + 6 = 14[/tex]
The Fifth term of the sequence is [tex]14 + 8 = 22[/tex]
The Sixth term of the sequence is [tex]22 + 10 = 32[/tex]
Keywords: sequence, arithmetic sequence
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