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TiliK225 [7]
3 years ago
11

If the 1st and 10th terms of geometric sequence are 4 and 100, find the nth term of the sequence

Mathematics
1 answer:
Masja [62]3 years ago
7 0

a = 4 first term, r = ?, T10 = 100.

Tn = ar^n - 1 formula for g.p

T10 = 4r^ 10 - 1

100 = 4r^9

Divide both side by 4

100/4 = 4/4r^9

25 = r^9 take the 9th root of both side

9√25 = 9√r^9

r = 9√25

To find the nth term

Since Tn = ar^n - 1

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Answer:

The correct equation is "y=30x+6147". A further explanation is given below.

Step-by-step explanation:

The given values are:

(x1, y1) = (50, 7647)

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As we know,

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⇒ m=\frac{y2-y1}{x2-x1}

On substituting the given values, we get

⇒     =\frac{9147-7642}{100-50}

⇒     =\frac{1500}{50}

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Now,

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On substituting the given values in the above equation, we get

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On adding "7647" both sides, we get

⇒ y-7647+7647=30x-1500+7647

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