The formula for the sum of n terms in an arithmetic progression is:
S = n/2 * (2a + (n-1)d)
Here, the common difference, d, is 8 and the first term, a, is 1. Substituting these into the formula, we get:
S = n/2 * (2*1 + 8(n - 1))
S = n + 4n² - 4n
S = 4n² - 3n
The answer is A.
17. 9
18. 12
19. 16
20. 56
21. 143
22. 14
23. 27
24. 7
We can do this by converting the equation to vertex form:-
h = -16t^2 + 36t + 10
= -16(t^2 - 2.25t) + 10
= -16 [ (t - 1.125)^2 - (1.125)^2] + 10
= -16(t - 1.125)^2 + 20.25 + 10
= -16(t - 1.125)^2 + 30.25
So the answer is 1.13s and 30.25 ft.
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