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12345 [234]
2 years ago
14

Find the sum of the first 10 terms of the given sequence.-3,-15,-75,375,-1875

Mathematics
1 answer:
IgorC [24]2 years ago
8 0

Answer: -7324218

Step-by-step explanation: This is a geometric series because we can see the sequence is constantly decreasing by multiples of 5.

5 is being multiplied.

Sum of geometric progression formula: S_{n}=\frac{a(1-r^{n})}{1-r} \\

Sn = sum of n terms

a = first term in sequence

r = common ratio/multiple

n = number of terms

Therefore: S_{10}=\frac{-3(1-5^{10})}{1-5} = -7324218

<em>brainliest please :)</em>

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Answer:

x = 3

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Step-by-step explanation:

Since it gives you x, you need to plug in the number given for it into the equation:

y = 3x - 1

y = 3(3) - 1

y = 9 - 1

y = 8

So now you have, x = 3 and y = 8

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yaroslaw [1]
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I have five apples and ten oranges. If a fruit basket must contain at least one piece of fruit, how many kinds of fruit baskets
liq [111]

Answer:

65

Step-by-step explanation:

First, let's consider the case where you have 1 apple in the basket. The possible number of baskets you can have with 1 apple is 11: the case where you have no oranges besides the apples, the case where you have 1 orange, the case where you have 2 orange, etc.

This line of reasoning can be followed by each possible amount of apples you can have: 0, 1, 2, 3, 4 and 5.

Keep in mind that in the case where you have no apples, you must exclude the case where you also have no oranges, because the problem tells you that the basket must have at least 1 fruit.

So, the answer would be:

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