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Anna11 [10]
3 years ago
10

Find the 10th term of a geometric sequence if a1=5 and the common ratio r=2

Mathematics
1 answer:
cupoosta [38]3 years ago
4 0

Answer:

The 10th term of the GP is 2560.

Step-by-step explanation:

It is given that,

The first term of the GP, a = 5

Common ratio, r = 2

We need to find the 10th term of the GP. The nth term of a GP is given by :

T_n=ar^{n-1}

Put n = 10

T_{10}=5\times 2^{10-1}\\\\T_{10}=2560

So, the 10th term of the GP is 2560.

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The perimeter of a rectangle is 48 m. The area of the rectangle is 128 square meters. Find the dimensions of the rectangle.
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Answer:

l = 16, w = 8

Step-by-step explanation:

Let l = length

Let w = width

Area = w * l

128 = w * l

w  = 128/l

Perimeter = 2w + 2l

48 = 2w + 2l

48 = 2(128/l) +2l

48 = 256/l +2l

Multiply everything by l

48l = 256 + 2l^2

l^2 + 128 = 24l

l^2 + 128 -24l = 0

(l-16)(l-8)= 0

L = 16

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If you try them out, and test it, l = 16 would work:

2(16) + 256/16 = 48

32 + 16 =48

16 * 128/16 = 128

16 * 8= 128

128 = 128

Since I'm not sure if you are in advanced math or not, I will do it simple with guess and check

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