PLEASE HELP AND SHOW ALL WORK Use mathematical induction to prove the statement is true for all positive integers n, or show why it is false.

1) 4 ⋅ 6 + 5 ⋅ 7 + 6 ⋅ 8 + ... + 4n( 4n + 2) = 4(4n+1)(8n+7) / 6

2) 1² + 4² + 7² + ... + (3n - 2)² = n(6n² - 3n - 2) / 2

For the given statement Pn, write the statements P1, Pk, and Pk+1.

3) 2 + 4 + 6 + . . . + 2n = n(n+1)

i need a picture

step-by-step explanation:

answer: 10 meter

step-by-step explanation:

need details

$2416.6

step-by-step explanation:

per hour = $ 25

total work time = 35

commission = 15%

total she has to make = $ 4,500

let she sold x dollar products

so her commission will be 15 % of x

now

total = weekly basic pay + commission

4500= (25*35) + 15 % of x

4500=875 + * x

4500-875 =   * x

3625= * x

multiplying wwith 100 on both sides gives

36250 = 15 x

now

x =  

x= $2416.6