Answer:
3135
Step-by-step explanation:
Givens
a1 = 6
Use t4 - t3 to get d
t4 = 27
t3 = 20
Step One
Find a1 and d
a1 = 6
d = t4 - t3
d = 27 - 20
d = 7
Step Two
Find the 30th Term
tn= a1 + (n -1 )*d
t30 = 6 + (30 - 1) * 7
t30 = 6 + 29*7
t30 = 6 + 203
t30 = 209
Step Three
Find the sum using Sum = (a + t30)*n/2
n = 30 given
a1 = 6 given
t30 = 209 calculated from step 2
Sum = (a1 + t30)*n/2 Substitute
Sum = (6+ 209)*30/2 Combine like terms and divide by 2
sum = 215 * 15 Multiply
Sum = 3135 Answer
19 comes next in the series, followed by two 21s.
The length of the rectangle is 7 and the width is 4 and equation is this 3x4=12
12-5=7 and 7x4=28
Answer:
1345.01694448 days
Step-by-step explanation:
24 weeks = 24 x 7 = 168 days
24 months = 24 x 30 x 7 = 168 x 7 = 1176 days
24 seconds = 0.000277778 days
24 minutes = 0.0166667 days
24 hours = 1 day
Total = 1345.01694448 days
Answer:
x = 3
width = 15
Step-by-step explanation:
perimeter of a rectangle = 2 * width + 2 * length
54 = 2 * width + 2 * length = 2 * (4x) + 2*(5x) = 8x + 10x + 18x
54 = 18x
divide both sides by 18 to isolate x
x = 3
width = 5x = 5 * 3 = 15
