Answer:
140
Step-by-step explanation:
The arithmetic series is 5, 7, 9, 11, ........., 23.
First u have to determine the no. of terms that can be done by using
Tₙ = [a + (n - 1)d]
Tₙ-------nth term
a---------first term
n---------no.of terms in the series
d---------common difference
here a = 5,d = 2.
let it contain n terms Tₙ= [a + (n-1)d]
Substitute Tₙ, a, and d in the equation
23 = 5 + (n - 1)2
Subtract 5 from each side.
18 = (n-1)2
Divide each side by 2
(n - 1) = 9
Add 1 to each side
n = 9 + 1 = 10
The sum of the arithmetic sequence formula: Sₙ= (n/2)[2a+(n-1)d]
Substitute Sₙ, a, n and d in the equation
Sₙ= (10/2)[2(5) + (10-1)2]
Sₙ= (5)[10 + (9)2]
Sₙ= 5[10 + 18]
Sₙ= 5[28] = 140
Therefore the sum of the arithmetic sequence is 140.
Answer:
I think the answer is (origin)
Answer:
Step-by-step explanation:
14 is 46.67% of thirty so you’d need to find out what 46.67% of 45 is which would be 21
Hope this is right and it helped XD
Answer:
a = 4.
Stepby-step explanation:
x^2 - 4 = (x + 2)(x - 2).
Answer:
Wilson is 6 older than mary
w=6+m
wilson is 10 less than 5 times mary
w=-10+5m
w=5m-10
so now we set them eqal to each other since both equal w
m+6=w=5m-10
m+6=5m-10
minus m both sides
6=4m-10
add 10 to both sides
16=4m
divide both sides by 4
4=m
sub back
w=m+6
w=4+6
w=10
wilson=10
mary=4
the correct method is math
