Answer all the questions. Then scan and submit your answers…
Answer all the questions. Then scan and submit your answers 1. Prove (or disprove) the following conjecture:”The sum of 4 consecutive triangular numbers is even” 2. Write 4/23 as an Egyptian fraction. Show your steps 3. a. Write in base 10 b. Write 12.04 in base 5 c. The number is in Mayan’s Calendric system. Write it in base 10. 4. Write an expression for the perimeter of a polygon with 14 sides inscribed in a circumference of radius 1 in terms of a7, the side of the regular polygon with 7 sides. 5. State the Universal gravitation law, and apply it to find the attractive forces between the masses m1 = 3×10^8 kg and m2=4×10^8 kg set at a distance d= 10^7 m. You can write the formula in terms of constant G) 6. Use the generalized binomial theorem to write the first 5 terms of the expansion of