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Temka [501]
3 years ago
8

The common ratio of a geometric series is 1/4 and the sum of the first 4 terms is 170

Mathematics
2 answers:
nata0808 [166]3 years ago
8 0

Answer:

128

Step-by-step explanation:

As common ratio is 1/4 ; let the first four terms of the geometric series be :

x , 1 / 4 .x , (1 / 4)2 .x , (1 / 4)3 .x  or

x , x / 4 , x / 16 and  x / 64

Now there sum is  170 , hence

x + x / 4 + x / 16 +  x / 64 = 170 or

(64a + 16a + 4a + a ) / 64  = 170 or

85a / 64 = 170

a = 128

Hence first first term of the series is

128

Hitman42 [59]3 years ago
4 0

Answer:

The first term is 128

Step-by-step explanation:please see attachment for explanation

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<h3>What is the Heron's formula?</h3>

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The complete question is

A horse gallops 200ft, turns and trots 350ft, turns again and travels 410ft to return to the point he started from. What is the area of the triangle formed by his path? round to the nearest hundredth.

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