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antiseptic1488 [7]
3 years ago
11

Find the sum of the first 30 terms in this geometric series -5 -4 -16/5

Mathematics
1 answer:
Maslowich3 years ago
6 0

Answer:

-24.97 to the nearest hundredth.

Step-by-step explanation:

First term a1 = -5.

Common ratio r = -4/-5 = 4/5.

Sum of n terms = a1 *  [1 - (4/5)^n] / (1 - 4/5)

Sum of 30 terms = -5 * ( 1 - (4/5)^30) / 1/5

=  -25 *  ( 1 - (4/5)^30)

= -24.97

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Question 1:
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The GCF of the three numbers:
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1×54                           1×36                          1×73
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If we divide 54 apples into 18 baskets, we have 3 apples in each basket
If we divide 36 oranges into 18 baskets, we have 2 oranges in each basket
If we divide 73 bananas into 18 baskets, we have 4 bananas in each basket + one banana left over.

So the greatest number of identical fruit baskets we can make with the least amount of fruit left over is 18 baskets
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