The given problem is a type of recursive sequence in mathematics. We can find any term in the sequence by taking four times the negative of the previous term and adding 15. For example, the second term is -13, calculated from the given first term of 7 as -4*7+15.
The problem given states that F(1)=7, f(n)=-4*f(n-1)+15, which is a type of recursive sequence in mathematics. In this sequence, each term is defined as four times the negative of the previous term added to 15. For any term f(n), the previous term is f(n-1). Therefore, if we want to find the next term after F(1), which is f(2), we substitute n=2 into the equation, giving us: f(2) = -4*f(2-1)+15 = -4*F(1)+15 = -4*7+15 = -28+15 = -13. Continuing this calculating method allows us to find subsequent terms in the sequence.
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