Answer: -4, 14, -22, 50
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Work Shown:
- 1st term = -4
- 2nd term = -2*(1st term)+6 = -2*(-4)+6 = 14
- 3rd term = -2*(2nd term)+6 = -2*14+6 = -22
- 4th term = -2*(3rd term)+6 = -2*(-22)+6 = 50
The first four terms are: -4, 14, -22, 50
The idea is to start with the first term (-4) and use the template [tex]\text{nth term} = -2*(\text{previous term}) + 6[/tex] to generate each new term. We multiply the previous term by -2, then add on 6. This is exactly what the recursive equation [tex]a_n = -2(a_{n-1})+6[/tex] is indicating.
