Answer:
270
Step-by-step explanation:
For any arithmetic sequence
nth term is given by
nth term = a + (n-1)d
where a is first term,
d is common difference
d is given by nth term - (n-1)th term
sum of n terms given by
sum = n/2(2a + (n-1)d)
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Given arithmetic sequence
-2,0,2,4,6,8...
first term a = -2
lets take third term as nth term and second term as (n-1)th term to find common difference d.
d = 2 - 0 = 2
using a = -2 , d = 2, n = 18
thus, sum of first 18 terms = n/2(2a + (n-1)d)
=18/2( 2*(-2) + (18-1) 2)
=9 ( -4 + 34)
=9 ( 30) = 270
Thus, sum of first 18 terms is 270.
Answer:
B. 4x ≤ 320
Step-by-step explanation:
Not sure how to explain my thinking. However, 4x must be smaller than 320 because she cannot spend more than that.
Hello!
We know that the formula for perimeter of a rectangle is:
P = 2l + 2w
We've been given enough information to solve this question!
The perimeter of the rectangle is 60 metres, and the its length is 14 meters long.
We must multiply the length by 2 and then subtract it from the perimeter to find the width.
W = P - 2l
W = 60 - 2(14)
W = 32
Therefore, the width of the rectangle is 32 metres long.
Given
26% = several simulations of a football player playing two games
Find the percentage of the simulations in each of the two games
2x = .26
2x = .26
---- -----
2 2
x = .13 * 100
x= 13
The answer is 13% of simulations would the football player be most likely to get a touchdown in each of the two games.
