Your method is completely correct. The first term will be 6 and each subsequent term can be obtained by adding 6 to the previous one, meaning the common difference is 6. The number of terms is given by the highest number that is divisible by 6 and dividing it by 6; that is 996/6 = 166
Then we simply apply the formula for arithmetic sequence sum:
S = n/2 [2a₁ + (n - 1)d]
S = 166/2 [ 2(6) + (166 - 1)6]
S = 83,166
Answer:
4). The Washington Monument is 169.2-m tall.
Step-by-step explanation:
4). We know this because...
person 1.8 0.7
---------- = ----- = -------
Wash. x 65.8
We then know to cross-multiply to get:
1.8(65.8) = 0.7x
Which simplifies down to:
118.44 = 0.7x
x = 169.2
Answer:
5). The pond is 180ft wide.
Step-by-step explanation:
5). We know this because...
90 120
----- = -------
135 x
We then know to cross-multiply to get:
90x = 120(135)
Which simplifies down to:
90x = 16200
x = 180
Answer:
6). The height of the clock tower is 13ft 9in.
Step-by-step explanation:
6). We know this because...
person 5.5 4
---------- = -------- = -----
clock x 10
We then know to cross-multiply to get:
5.5(10) = 4x
Which simplifies down to:
55 = 4x
x = 13.75 (13 ft 9 in)
The answer is 3) the line of g(x) is steeper and has a lower y-intercept!
I really hope this helped you out
