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lions [1.4K]
3 years ago
9

1. 5 - V20r + 4 2 -3

Advanced Placement (AP)
1 answer:
VARVARA [1.3K]3 years ago
5 0

Answer:

I'm sorry but I speak Spanish, forgive me, l hope someone else helps you

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Economists use the term marginal change to describe small incremental adjustments to an existing plan of action. In simple words, Marginal changes are very small incremental changes which don't affect the larger (macroeconomics) totals except in aggregate.

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Help me arrange this in order.<br> I can give brainliest!!
zubka84 [21]

I don't know exactly how to label these. I'll start from the left and go to the right. The formula for all of these questions is Sum = a(1 - r^n)/(1 - r)

Left

The complete series is 1 3 9 27 81 and just adding these as you see them, you  get 1 + 3 + 9 + 27 + 81 = 121

Sample calculation

i = 1

3^(1 -1) = 1

i = 4

1 * 3^(4 - 1)=3^3 = 27 Just what the series says you should get.

Sum using formula

Sum = 1(1 - 3^5)/(1 - 3) = 1 * (1 - 243)/(1 - 3) = - 242/-2 = 121

Second from the left

Series: 3 6 12 24 48

Sum by hand = 93

Sample Calculation

i = 1

3*2^(1 - 1) = 1

i1 = 3

3 * 2^(3 - 1) = 3 * 2^2 = 3 * 4 = 12 which is what you should get.

Sum using formula

Sum = 3 (1 - 2^(5 - 1) / (1 - 2)

Sum = 3 (1 - 32) / - 1

Sum = 3(-31) / (- 1) = 93

Second from the right.

Series: 2 6 18 54

Sample Calculation

i = 1

t1 = 2* 3^(1 - 1) = 2*3^0 = 2*1 = 2

i = 4

t4 = 2 * 3^(4- 1)

t4 = 2 * 3^3

t4 = 2 * 27

t4 = 54 just as it should

Sum with formula

Sum = 2( 1 - 3^4) / ( 1 - 3)

Sum = 2(1 - 81)/ -2

Sum = 2( - 80) / - 2

Sum = 80

Entry on the right

Series: 1 2 4 8 16 32 64

Sum by hand: 1 + 2 + 4 + 8 + 16 + 32 + 64 = 127

Sample Calculation:

i = 1

2^(1 - 1) = 2^0

2 to the zero = 1

i = 6

t6 = 1(  2^6)

t6 = 1 * 2^6 = 64

Sum using the formula: 1*(1 - 2^7)/(1 - 2) = (1 - 128)/(-1 = 127

Order: Answer

Right comes first

Left

Second from the left

Second from the right.  

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He needs $15 dollars more


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