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Olegator [25]
3 years ago
12

Tyron takes 3/4 hours to paint a wall. His brother takes 1/3 of the the time he takes.how long will his brother take to paint 5

similar walls
Mathematics
1 answer:
irinina [24]3 years ago
3 0
Find how long will he take for 1 similar walls (in hour)
1/3 × 3/4
= 3/12
= 1/4 hours

Find how long will he take for 5 similar walls
time for 1 wall × 5
= 1/4 × 5
= 5/4 hours
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In a G.P the 3rd term is 4 times the 1st term and the sum of the 2nd term and the 4th term is 30.find the common ratio,find the
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Answer:

the common ratio is either 2 or -2.

the sum of the first 7 terms is then either 765 or 255

Step-by-step explanation:

a geometric sequence or series of progression (these are the most common names for the same thing) means that every new term of the sequence is created by multiplying the previous term by a constant factor which is called the common ratio.

so,

a1

a2 = a1×f

a3 = a2×f = a1×f²

a4 = a3×f = a1×f³

the problem description here tells us

a3 = 4×a1

and from above we know a3 = a1×f².

so, f² = 4

and therefore the common ratio = f = 2 or -2 (we need to keep that in mind).

again, the problem description tells us

a2 + a4 = 30

a1×f + a1×f³ = 30

for f = 2

a1×2 + a1×2³ = 30

2a1 + 8a1 = 30

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for f = -2

a1×-2 + a1×(-2)³ = 30

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the sum of the first n terms of a geometric sequence is

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so, for f = 2

s7 = 3×(1 - 2⁸)/(1-2) = 3×-255/-1 = 3×255 = 765

for f = -2

s7 = -3×(1 - (-2)⁸)/(1 - -2) = -3×(1-256)/3 = -3×-255/3 =

= -1×-255 = 255

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