Answer:
15th term = 116
Step-by-step explanation:
a= 4
Sum of an A.P = n/2 {2a + (n-1)d}
sum of first five term is equal to one-fourth of the sum of the next five term
5/2{ 2*4 + (5-1)d} = 1/4 × 10/2{2*4 + (10-1)d
5/2 {8 + 4d} = 1/4 × 5{ 8 + 9d}
40/2 + 20/2d = 1/4{ 40 + 45d)
20 + 10d= 40/4 + 45/4d
20 + 10d = 10 + 45/4d
20 - 10 = 45/4d - 10d
10 =45d - 40d /4
10 = 5/4d
Divide both sides by 5/4
10 ÷5/4 = d
10×4/5 = d
40/5 = d
8 = d
d= 8
Find the 15th term
15th term = a + (n-1)d
= 4 + (15-1)8
= 4 + (14)8
= 4 + 112
= 116
The 15th term is 116
Step-by-step explanation:
Height of the cylinder A(h1)=5cm
CSA of cylinder A(CSA1)=18cm^2
Height of the cylinder B (h2)=10cm
CSA of cylinder B (CSA)=?
Since cylinder A and B are similar,
h1=xh2
or,5cm=x*10cm
or,x=1/2
Similarly,
CSA1=xCSA2
or,18cm^2=1/2*CSA2
or,CSA2=36cm^2
We khow that,
Volume of cylinder B (V2)= CSA2 * h2
=36cm^2*10cm
=36cm^3
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38,653
Step-by-step explanation:
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Cause you move down 4 units and up 4 units
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