1. **State the problem:** We are given the sequence $$79, 71, 63, 55, \ldots$$ and asked to find the explicit formula for the sequence where the first term corresponds to $$h(1)$$.
2. **Check Emeka's formula:** $$h(n) = 79 - 8(n-1)$$.
- Substitute $$n=1$$: $$h(1) = 79 - 8(1-1) = 79 - 0 = 79$$ which matches the first term.
- Substitute $$n=2$$: $$h(2) = 79 - 8(2-1) = 79 - 8 = 71$$ which matches the second term.
3. **Check Maricel's formula:** $$h(n) = 87 - 8n$$.
- Substitute $$n=1$$: $$h(1) = 87 - 8(1) = 87 - 8 = 79$$ which matches the first term.
- Substitute $$n=2$$: $$h(2) = 87 - 8(2) = 87 - 16 = 71$$ which matches the second term.
4. **Check further terms to confirm:**
- For Emeka's formula at $$n=3$$: $$h(3) = 79 - 8(3-1) = 79 - 16 = 63$$ matches the third term.
- For Maricel's formula at $$n=3$$: $$h(3) = 87 - 8(3) = 87 - 24 = 63$$ matches the third term.
5. **Conclusion:** Both formulas generate the same sequence for all $$n$$ because:
$$79 - 8(n-1) = 79 - 8n + 8 = 87 - 8n$$.
**Answer:** Both Emeka and Maricel are correct.
Sequence Formula
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