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krek1111 [17]
3 years ago
9

What is the sum of the geometric sequence -4,24,-144, ... if there are 7 terms?

Mathematics
1 answer:
const2013 [10]3 years ago
4 0
S_7=-4+24-144+864-5184+31104-186624
S_7=-4(1-6+36-216+1296-7776+46656)
(-6)S_7=-4(-6+36-216+1296-7776+46656-279936)
S_7-(-6)S_7=-4(1+279936)
S_7=-\dfrac47\times279937=-159964
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Manuel bought 2kg of jelly beans and 2kg of gummy worms for a total of $26. Danny bought 2kg of jelly beans and 3kg of gummy wor
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Answer:

Jelly beans: $6 for 1 kg

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Step-by-step explanation:

In this question, we need to find the cost of 1kg of jelly beans and gummy worms.

To do this, make equations for both scenarios and solve:

2j + 2g = 26

2j + 3g = 33

Turn the bottom equation negative, as we will first solve for gummy worms (g).

2j + 2g = 26

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Solve:

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Divide both sides by -1.

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We now know that gummy worms cost $7 for 1 kg

To solve for jellybeans (j), plug in 7 to g in one of the equations and solve:

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Subtract 14 from both sides.

2j = 12

Divide both sides by 2.

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Jellybeans cost $6 for 1 kg.

Check answer by plugging in values to one of the equations:

2(6) + 2(7) = 26

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3 0
2 years ago
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Answer:

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Step-by-step explanation:

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Hope this helps.

3 0
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