The first five triangular numbers are shown, wheren represents the number of dots in the base of the figure, and d(n) represents the total number of dots in the figure. 0(1) 000(3) 000000(6) 0000000000(10) 000000000000000(15)

When n=1, there is 1 dot. When n=2, there are 3 dots. When n = 3, there are 6 dots. Notice that the total number of dots d(n.) increases by n each time.
Use induction to prove that d (n) n()

Part A
Prove the statement is true for n=1
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In one day there are too high tides into low tides and equally spaced intervals the high tide is observed to be 6 feet above the average sea level after six hours passed a low tide occurs at 6 feet below the average sea level in this task you will model this occurrence using a trigonometric function by using x as a measurement of time assume the first high tide occurs at x=0. a. what are the independent and dependent variables? b. determine these key features of the function that models the tide: 1.amplitude 2.period 3.frequency 4.midline 5.vertical shift 6.phase shift c. create a trigonometric function that models the ocean tide for a period of 12 hours. d.what is the height of the tide after 93 hours?

Using inductive reasoning, what are the next two number in this set? 2,3/2,4/3,5/4,

Multiplying fractions by whole number 5 x 1/3=?