+ 4 + 9 + 16 + 25 + 36 + 49 + 64 + 81 = 285
**Why 285
Related Articles
- #### 801. A train travels 150 miles in 3 hours at a constant speed. It then travels another 200 miles at a speed that is 20% faster than its initial speed. How long does the entire journey take?
- #### 17,138.20Question: A paleobotanist has 48 fossilized plant species and 64 ancient pollen samples. What is the greatest common factor of these two numbers?
- $$ f(a + b) + f(ab) = f(a)f(b) + ab $$
- + 1.5 + 2.25 + 3.375 + 5.0625 = 13.1875
- + 2.5 + 6.25 + 15.625 + 39.0625 = 64.4375
- = 2(8 imes 5 + 8 imes 10 + 5 imes 10)
Trending Articles
So all even \(n\) satisfy \(n^3 \equiv 0 \pmod{8}\). So condition is \(n \equiv 0 \pmod{2}\), but weâll refine later.
Step 2: Solve modulo 125
n^3 \equiv 888 \pmod{125}
Note \(888 \mod 125 = 888 - 7\cdot125 = 888 - 875 = 13\), so:
n^3 \equiv 13 \pmod{125}
We search for a solution to \(n^3 \equiv 13 \pmod{125}\). Try lifting via Henselâs Lemma or trial.
Try small values modulo 5 first:
Mod 5: \(n^3 \equiv 13 \equiv 3 \pmod{5}\)
Check cubes mod 5:
\(0^3 = 0\)