handwrit.e and show all work and steps

6. A certain species of tree grows an average of 3.1 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 400 centimeters tall. (2 points) 5. A certain radioactive isotope has a half-life of 'll days, If one is to make a table showing the half-life decay of a sample of this isotope from 32 grams to 1 gram; list the time (in days, starting with t = O) in the rst column and the mass remaining (in grams) in the second column, which type of sequence is used in the rst column and which type of sequence is used in the second column? (2 points) 4. Find the first six terms of the sequence. a1=-7, a = an-1 + 510. Find an explicit rule for the nth term of the sequence. -5, -30, -180, -1080, ...6. Find the sum of the first 12 terms of the sequence. Show all work for full credit. 1, -4, -9, -14, . . . (2 points)13. Use mathematical induction to prove the statement is true for all positive integers n. The integer n + 2n is divisible by 3 for every positive integer n. (1 point) B i U Font Family AADEE EGG 14. A certain species of tree grows an average of 3.8 cm per week. Write an equation for the sequence that represents the weekly height of this tree in centimeters if the measurements begin when the tree is 5 meters tall. (1 point) B i U Font Family AAA DE E E . @